Onset of a quantum phase transition with a trapped ion quantum simulator
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A quantum simulator is a well-controlled quantum system that can follow the evolution of a prescribed model whose behaviour may be difficult to determine. A good example is the simulation of a set of interacting spins, where phase transitions between various spin orders can underlie poorly understood concepts such as spin liquids. Here we simulate the emergence of magnetism by implementing a fully connected non-uniform ferromagnetic quantum Ising model using up to 9 trapped (171)Yb(+) ions. By increasing the Ising coupling strengths compared with the transverse field, the crossover from paramagnetism to ferromagnetic order sharpens as the system is scaled up, prefacing the expected quantum phase transition in the thermodynamic limit. We measure scalable order parameters appropriate for large systems, such as various moments of the magnetization. As the results are theoretically tractable, this work provides a critical benchmark for the simulation of intractable arbitrary fully connected Ising models in larger systems.
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The degree of quantum control is even better in ultracold-ion systems, but these are so far limited to few ions.
“The degree of quantum control is even better in ultracold-ion systems, but these are so far limited to few ions [21-23, 26, 27].”
From Can one trust quantum simulators? (2012) · cites this paper as [23]
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Simulating physics with computers
Feynman, R. P. (1982) · International Journal of Theoretical Physics · doi:10.1007/bf02650179 · Cited by 7,691 · see citing works
Lanczos, C. (1950) · Journal of research of the National Bureau of Standards · doi:10.6028/jres.045.026 · Cited by 4,356 · see citing works
Lloyd, S. (1996) · Science · doi:10.1126/science.273.5278.1073 · Cited by 3,088 · cited 1× · see citing works
“jpg"/> Cold atomic systems provide an ideal standard for quantum simulatio”
Finite size scaling analysis of ising model block distribution functions
Binder, K. (1981) · The European Physical Journal B · doi:10.1007/bf01293604 · Cited by 2,211 · see citing works
A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Problem
Farhi, E., Goldstone, J., Gutmann, S., Lapan, J., Lundgren, A., & Preda, D. (2001) · Science · doi:10.1126/science.1057726 · Cited by 2,056 · see citing works
Scaling Theory for Finite-Size Effects in the Critical Region
Fisher, M. E., & Barber, M. N. (1972) · Physical Review Letters · doi:10.1103/physrevlett.28.1516 · Cited by 1,504 · see citing works
On the computational complexity of Ising spin glass models
Barahona, F. (1982) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/15/10/028 · Cited by 1,303 · see citing works
Quantum simulation of antiferromagnetic spin chains in an optical lattice
Simon, J., Bakr, W. S., Ma, R., Tai, M. E., Preiss, P. M., & Greiner, M. (2011) · Nature · doi:10.1038/nature09994 · Cited by 898 · see citing works
Effective Quantum Spin Systems with Trapped Ions
Porras, D., & Cirac, J. I. (2004) · Physical Review Letters · doi:10.1103/physrevlett.92.207901 · Cited by 872 · see citing works
Critical Properties from Monte Carlo Coarse Graining and Renormalization
Binder, K. (1981) · Physical Review Letters · doi:10.1103/physrevlett.47.693 · Cited by 799 · see citing works
Quantum simulation of frustrated Ising spins with trapped ions
Kim, K., Chang, M.-S., Korenblit, S., Islam, R., Edwards, E. E., Freericks, J. K., Lin, G.-D., Duan, L.-M., & Monroe, C. (2010) · Nature · doi:10.1038/nature09071 · Cited by 750 · see citing works
Self-citationQuantum Simulation of Frustrated Classical Magnetism in Triangular Optical Lattices
Struck, J., Ölschläger, C., Le Targat, R., Soltan-Panahi, P., Eckardt, A., Lewenstein, M., Windpassinger, P., & Sengstock, K. (2011) · Science · doi:10.1126/science.1207239 · Cited by 669 · see citing works
Simulating a quantum magnet with trapped ions
Friedenauer, A., Schmitz, H., Glueckert, J. T., Porras, D., & Schaetz, T. (2008) · Nature Physics · doi:10.1038/nphys1032 · Cited by 602 · see citing works
Quantum magnetism and criticality
Subir Sachdev, A. (2008) · Nature Physics · doi:10.1038/nphys894 · Cited by 469 · see citing works
Olmschenk, S., Younge, K. C., Moehring, D. L., Matsukevich, D. N., Maunz, P., & Monroe, C. (2007) · Physical Review A · doi:10.1103/physreva.76.052314 · Cited by 464 · see citing works
Self-citationEntanglement and Tunable Spin-Spin Couplings between Trapped Ions Using Multiple Transverse Modes
Kim, K., Chang, M.-S., Islam, R., Korenblit, S. É., Duan, L.-M., & Monroe, C. R. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.120502 · Cited by 313 · see citing works
Self-citationDusuel, S., & Vidal, J. (2005) · Physical Review B · doi:10.1103/physrevb.71.224420 · Cited by 253 · see citing works
Trapped Ion Quantum Computation with Transverse Phonon Modes
Zhu, S.-L., Monroe, C. R., & Duan, L. (2006) · Physical Review Letters · doi:10.1103/physrevlett.97.050505 · Cited by 199 · see citing works
Self-citationEffective spin quantum phases in systems of trapped ions
Deng, X., Porras, D., & Cirac, J. I. (2005) · Physical Review A · doi:10.1103/physreva.72.063407 · Cited by 182 · see citing works
Ultrafast Gates for Single Atomic Qubits
Campbell, W. C., Mizrahi, J., Quraishi, Q. S., Senko, C., Hayes, D., Hucul, D., Matsukevich, D., Maunz, P., & Monroe, C. R. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.090502 · Cited by 155 · see citing works
Self-citationZero-point cooling and low heating of trapped Cd+111 ions
Deslauriers, L., Haljan, P. C., Lee, P. J., Brickman, K.-A., Blinov, B. B., Madsen, M. J., & Monroe, C. R. (2004) · Physical Review A · doi:10.1103/physreva.70.043408 · Cited by 110 · see citing works
Self-citationAdiabatic quantum dynamics of the Lipkin-Meshkov-Glick model
Caneva, T., Rosario Fazio, B., & Santoro, G. E. (2008) · Physical Review B · doi:10.1103/physrevb.78.104426 · Cited by 107 · see citing works
Quantum simulation and phase diagram of the transverse-field Ising model with three atomic spins
Edwards, E. E., Korenblit, S. É., Kim, K., Islam, R., Chang, M.-S., Freericks, J. K., Lin, G.-D., Duan, L., & Monroe, C. R. (2010) · Physical Review B · doi:10.1103/physrevb.82.060412 · Cited by 106 · see citing works
Self-citationSharp Phase Transitions in a Small Frustrated Network of Trapped Ion Spins
Lin, G.-D., Monroe, C. R., & Duan, L.-M. (2011) · Physical Review Letters · doi:10.1103/physrevlett.106.230402 · Cited by 42 · see citing works
Self-citationWigner crystals of ions as quantum hard drives
Taylor, J. M., & Calarco, T. (2008) · Physical Review A · doi:10.1103/physreva.78.062331 · Cited by 39 · see citing works
Detection and control of individual trapped ions and neutral atoms
Acton, M. (2008) · Cited by 2 · see citing works
Quantum simulation of frustrated magnetism in a triangular optical lattice
Struck, J., ager, C. O., Staarmann, C., Soltan-Panahi, P., uhmann, D.-S. O. L., Targat, R. L., Windpassinger, P., & Sengstock, K. (2011) · Bulletin of the American Physical Society · Cited by 2 · see citing works
Quantum simulation of frustrated magnetism in triangular optical latticesPreprint
Struck, J., Ölschläger, C., Targat, R. L., et al. (2011) · arXiv (Cornell University) · doi:10.48550/arxiv.1103.5944
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Georgescu, I. M., Ashhab, S., & Nori, F. (2014) · Reviews of Modern Physics · doi:10.1103/revmodphys.86.153 · Cited by 2,932 · see citing works
“…in (Bermudez et al., 2009; Deng et al., 2005; Korenblit et al., 2012; Lin et al., 2011a; Porras and Cirac, 2005a,b; Porras et al., 2008) and put into practice in the experiments of (Britton et al., 2012; Edwards et al., 2010; Friedenauer et al., 2008; Islam et al., 2011; Kim et al., 2010, 2011).”
BackgroundQuantum simulations with trapped ions
Blatt, R., & Roos, C. F. (2012) · Nature Physics · doi:10.1038/nphys2252 · Cited by 1,629 · see citing works
Quantum many-body systems out of equilibrium
Eisert, J., Friesdorf, M., & Gogolin, C. (2015) · Nature Physics · doi:10.1038/nphys3215 · Cited by 1,255 · see citing works
Aspuru-Guzik, A., & Walther, P. (2012) · Nature Physics · doi:10.1038/nphys2253 · Cited by 952 · see citing works
Britton, J. W., Sawyer, B. C., Keith, A. C., Wang, C.-C. J., Freericks, J. K., Uys, H., Biercuk, M. J., & Bollinger, J. J. (2012) · Nature · doi:10.1038/nature10981 · Cited by 941 · see citing works
Self-citationProgrammable quantum simulations of spin systems with trapped ions
Monroe, C. R., Campbell, W. C., Duan, L.-M., Gong, Z., Gorshkov, A. V., Hess, P., Islam, R., Kim, K., Linke, N. M., Pagano, G., et al. (2021) · Reviews of Modern Physics · doi:10.1103/revmodphys.93.025001 · Cited by 807 · see citing works
Self-citationProgrammable Quantum Simulations of Spin Systems with Trapped Ions
Monroe, C., Campbell, W. C., Duan, L. M., Gong, Z. X., Gorshkov, A. V., Hess, P., Islam, R., Kim, K., Linke, N., Pagano, G., et al. (2019) · arXiv · doi:10.48550/arxiv.1912.07845 · Cited by 806
Self-citationUniversal Digital Quantum Simulation with Trapped Ions
Lanyon, B. P., Hempel, C., Nigg, D., Müller, M., Gerritsma, R., Zähringer, F., Schindler, P., Barreiro, J. T., Rambach, M., Kirchmair, G., et al. (2011) · Science · doi:10.1126/science.1208001 · Cited by 613 · see citing works
Emergence and Frustration of Magnetism with Variable-Range Interactions in a Quantum Simulator
Islam, R., Senko, C., Campbell, W. C., Korenblit, S. É., Smith, J., Lee, A., Edwards, E. E., Wang, C. ‐. J., Freericks, J. K., & Monroe, C. R. (2013) · Science · doi:10.1126/science.1232296 · Cited by 441 · see citing works
Self-citationUniversality of phase transition dynamics: Topological defects from symmetry breaking
del Campo, A., & Zurek, W. H. (2014) · International Journal of Modern Physics A · doi:10.1142/s0217751x1430018x · Cited by 364 · see citing works
Experimental quantum simulations of many-body physics with trapped ions
Schneider, C., Porras, D., & Schaetz, T. (2012) · Reports on Progress in Physics · doi:10.1088/0034-4885/75/2/024401 · Cited by 354 · see citing works
Reinforcement Learning in Different Phases of Quantum Control
Bukov, M., Day, A. G. R., Sels, D., Weinberg, P., Polkovnikov, A., & Mehta, P. (2018) · Physical Review X · doi:10.1103/physrevx.8.031086 · Cited by 348 · see citing works
Else, D. V., Monroe, C. R., Nayak, C., & Yao, N. Y. (2020) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031119-050658 · Cited by 340 · see citing works
Self-citationSpread of Correlations in Long-Range Interacting Quantum Systems
Hauke, P., & Tagliacozzo, L. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.207202 · Cited by 327 · see citing works
Reconstructing quantum states with generative models
Carrasquilla, J., Torlai, G., Melko, R. G., & Aolita, L. (2019) · Nature Machine Intelligence · doi:10.1038/s42256-019-0028-1 · Cited by 321 · see citing works
Can one trust quantum simulators?
Hauke, P., Cucchietti, F. M., Tagliacozzo, L., Deutsch, I., & Lewenstein, M. (2012) · Reports on Progress in Physics · doi:10.1088/0034-4885/75/8/082401 · Cited by 315 · see citing works
del Campo, A., Rams, M. M., & Zurek, W. H. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.115703 · Cited by 304 · see citing works
A large-scale quantum simulator on a diamond surface at room temperature
Cai, J., Retzker, A., Jelezko, F., & Plenio, M. B. (2013) · Nature Physics · doi:10.1038/nphys2519 · Cited by 279 · see citing works
Entanglement Entropy for the Long-Range Ising Chain in a Transverse Field
Koffel, T., Lewenstein, M., & Tagliacozzo, L. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.267203 · Cited by 255 · see citing works
Variational fast forwarding for quantum simulation beyond the coherence time
Cîrstoiu, C., Holmes, Z., Iosue, J., Cincio, L., Coles, P. J., & Sornborger, A. (2020) · npj Quantum Information · doi:10.1038/s41534-020-00302-0 · Cited by 232 · see citing works
Entanglement Growth in Quench Dynamics with Variable Range Interactions
Schachenmayer, J., Lanyon, B. P., Roos, C. F., & Daley, A. J. (2013) · Physical Review X · doi:10.1103/physrevx.3.031015 · Cited by 223 · see citing works
Quantum simulation of dynamical maps with trapped ions
Schindler, P., Müller, M., Nigg, D., Barreiro, J. T., Martinez, E. A., Hennrich, M., Monz, T., Diehl, S., Zoller, P., & Blatt, R. (2013) · Nature Physics · doi:10.1038/nphys2630 · Cited by 222 · see citing works
Quantum Simulation of a Lattice Schwinger Model in a Chain of Trapped Ions
Hauke, P., Marcos, D., Dalmonte, M., & Zoller, P. (2013) · Physical Review X · doi:10.1103/physrevx.3.041018 · Cited by 189 · see citing works
Thermometry in the quantum regime: recent theoretical progress
Mehboudi, M., Sanpera, A., & Correa, L. A. (2019) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8121/ab2828 · Cited by 188 · see citing works
Buyskikh, A. S., Fagotti, M., Schachenmayer, J., Eßler, F. H. L., & Daley, A. J. (2016) · Physical Review A · doi:10.1103/physreva.93.053620 · Cited by 163 · see citing works
Breakdown of Quasilocality in Long-Range Quantum Lattice Models
Eisert, J., van den Worm, M., Manmana, S. R., & Kästner, M. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.260401 · Cited by 162 · see citing works
Realization of a Quantum Integer-Spin Chain with Controllable Interactions
Senko, C., Richerme, P., Smith, J., Lee, A., Cohen, I., Retzker, A., & Monroe, C. (2015) · Physical Review X · doi:10.1103/physrevx.5.021026 · Cited by 159 · see citing works
Self-citationProbing Real-Space and Time-Resolved Correlation Functions with Many-Body Ramsey Interferometry
Knap, M., Kantian, A., Giamarchi, T., Bloch, I., Lukin, M. D., & Demler, E. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.147205 · Cited by 158 · see citing works
Quantum Computers as Universal Quantum Simulators: State‐of‐the‐Art and Perspectives
Tacchino, F., Chiesa, A., Carretta, S., & Gerace, D. (2019) · Advanced Quantum Technologies · doi:10.1002/qute.201900052 · Cited by 155 · see citing works
Observation of Stark many-body localization without disorder
Morong, W., Liu, F., Becker, P., Collins, K. S., Feng, L., Kyprianidis, A., Pagano, G., You, T., Gorshkov, A. V., & Monroe, C. R. (2021) · Nature · doi:10.1038/s41586-021-03988-0 · Cited by 154 · see citing works
Self-citationExperimental verification of quantum computation
Barz, S., Fitzsimons, J. F., Kashefi, E., & Walther, P. J. (2013) · Nature Physics · doi:10.1038/nphys2763 · Cited by 144 · see citing works
Quantum simulation of spin models on an arbitrary lattice with trapped ions
Korenblit, S. É., Kafri, D., Campbell, W. C., Islam, R., Edwards, E. E., Gong, Z.-X., Lin, G.-D., Duan, L.-M., Kim, J., Kim, K., et al. (2012) · New Journal of Physics · doi:10.1088/1367-2630/14/9/095024 · Cited by 138 · see citing works
Self-citationSpectral collapse via two-phonon interactions in trapped ions
Felicetti, S., Pedernales, J. S., Egusquiza, I. L., Romero, G., Lamata, L., Braak, D., & Solano, E. (2015) · Physical Review A · doi:10.1103/physreva.92.033817 · Cited by 138 · see citing works
Synthetic Gauge Fields for Vibrational Excitations of Trapped Ions
Bermúdez, A., Schaetz, T., & Porras, D. (2011) · Physical Review Letters · doi:10.1103/physrevlett.107.150501 · Cited by 136 · see citing works
Safavi-Naini, A., Lewis-Swan, R. J., Bohnet, J., Gärttner, M., Gilmore, K., Jordan, J. E., Cohn, J., Freericks, J. K., Rey, A. M., & Bollinger, J. J. (2018) · Physical Review Letters · doi:10.1103/physrevlett.121.040503 · Cited by 136 · see citing works
Self-citationQuantum simulation of the transverse Ising model with trapped ions
Kim, K., Korenblit, S. É., Islam, R., Edwards, E. E., Chang, M.-S., Noh, C., Carmichael, H. J., Lin, G.-D., Duan, L.-M., Wang, C. ‐. J., et al. (2011) · New Journal of Physics · doi:10.1088/1367-2630/13/10/105003 · Cited by 134 · see citing works
Self-citationSuperconducting Circuits for Quantum Simulation of Dynamical Gauge Fields
Marcos, D., Rabl, P., Rico, E., & Zoller, P. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.110504 · Cited by 133 · see citing works
Towards analog quantum simulations of lattice gauge theories with trapped ions
Davoudi, Z., Hafezi, M., Monroe, C. R., Pagano, G., Seif, A., & Shaw, A. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.023015 · Cited by 132 · see citing works
Self-citationNon-Markovianity, Loschmidt echo, and criticality: A unified picture
Haikka, P., Goold, J., McEndoo, S., Plastina, F., & Maniscalco, S. (2012) · Physical Review A · doi:10.1103/physreva.85.060101 · Cited by 122 · see citing works
Coherent and dissipative dynamics at quantum phase transitions
Rossini, D., & Vicari, E. (2021) · Physics Reports · doi:10.1016/j.physrep.2021.08.003 · Cited by 122 · see citing works
Deep reinforcement learning for quantum gate control
An, Z., & Zhou, D. L. (2019) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/126/60002 · Cited by 121 · see citing works
Quantum State Engineering of a Hubbard System with Ultracold Fermions
Chiu, C., Ji, G., Mazurenko, A., Greif, D., & Greiner, M. (2018) · Physical Review Letters · doi:10.1103/physrevlett.120.243201 · Cited by 114 · see citing works
Optical Detection of the Quantization of Collective Atomic Motion
Brahms, N., Botter, T., Schreppler, S., Brooks, D. W. C., & Stamper-Kurn, D. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.133601 · Cited by 112 · see citing works
Probing the Dynamics of a Superradiant Quantum Phase Transition with a Single Trapped Ion
Puebla, R., Hwang, M.-J., Casanova, J., & Plenio, M. B. (2017) · Physical Review Letters · doi:10.1103/physrevlett.118.073001 · Cited by 110 · see citing works
Transverse-Field Ising Dynamics in a Rydberg-Dressed Atomic Gas
Borish, V., Marković, O., Hines, J., Rajagopal, S., & Schleier-Smith, M. (2020) · Physical Review Letters · doi:10.1103/physrevlett.124.063601 · Cited by 110 · see citing works
Topological Characterization of Extended Quantum Ising Models
Zhang, G., & Song, Z. (2015) · Physical Review Letters · doi:10.1103/physrevlett.115.177204 · Cited by 104 · see citing works
Normal modes of trapped ions in the presence of anharmonic trap potentials
Home, J., Hanneke, D., Jost, J. D., Leibfried, D. G., & Wineland, D. J. (2011) · New Journal of Physics · doi:10.1088/1367-2630/13/7/073026 · Cited by 103 · see citing works
Topologically protected quantum state transfer in a chiral spin liquid
Yao, N. Y., Laumann, C. R., Gorshkov, A. V., Weimer, H., Jiang, L., Cirac, J. I., Zoller, P., & Lukin, M. D. (2013) · Nature Communications · doi:10.1038/ncomms2531 · Cited by 102 · see citing works
Strong disorder RG approach – a short review of recent developments
Iglói, F., & Monthus, C. (2018) · The European Physical Journal B · doi:10.1140/epjb/e2018-90434-8 · Cited by 102 · see citing works
Local detection of quantum correlations with a single trapped ion
Gessner, M., Ramm, M. T., Pruttivarasin, T., Buchleitner, A., Breuer, H., & Häffner, H. (2013) · Nature Physics · doi:10.1038/nphys2829 · Cited by 99 · see citing works
Limit-cycle phase in driven-dissipative spin systems
Chan, C.-K., Lee, T. E., & Gopalakrishnan, S. (2015) · Physical Review A · doi:10.1103/physreva.91.051601 · Cited by 99 · see citing works
Geometric Speed Limit of Accessible Many-Body State Preparation
Bukov, M., Sels, D., & Polkovnikov, A. (2019) · Physical Review X · doi:10.1103/physrevx.9.011034 · Cited by 97 · see citing works
Strongly interacting ultracold polar molecules
Gadway, B., & Yan, B. (2016) · Journal of Physics B Atomic Molecular and Optical Physics · doi:10.1088/0953-4075/49/15/152002 · Cited by 97 · see citing works
Universal Statistics of Topological Defects Formed in a Quantum Phase Transition
del Campo, A. (2018) · Physical Review Letters · doi:10.1103/physrevlett.121.200601 · Cited by 92 · see citing works
Ultrafast Spin-Motion Entanglement and Interferometry with a Single Atom
Mizrahi, J., Senko, C., Neyenhuis, B., Johnson, K. G., Campbell, W. C., Conover, C. W. S., & Monroe, C. R. (2013) · Physical Review Letters · doi:10.1103/physrevlett.110.203001 · Cited by 88 · see citing works
Self-citationDutta, A., Rahmani, A., & del Campo, A. (2016) · Physical Review Letters · doi:10.1103/physrevlett.117.080402 · Cited by 87 · see citing works
Relaxation timescales and decay of correlations in a long-range interacting quantum simulator
van den Worm, M., Sawyer, B. C., Bollinger, J. J., & Kästner, M. (2013) · New Journal of Physics · doi:10.1088/1367-2630/15/8/083007 · Cited by 86 · see citing works
Coherent imaging spectroscopy of a quantum many-body spin system
Senko, C., Smith, J., Richerme, P., Lee, A., Campbell, W. C., & Monroe, C. R. (2014) · Science · doi:10.1126/science.1251422 · Cited by 85 · see citing works
Self-citationA 16-bit Coherent Ising Machine for One-Dimensional Ring and Cubic Graph Problems
Takata, K., Marandi, A., Hamerly, R., Haribara, Y., Maruo, D., Tamate, S., Hiromasa, S., Utsunomiya, S., & Yamamoto, Y. (2016) · Scientific Reports · doi:10.1038/srep34089 · Cited by 85 · see citing works
Nonequilibrium dynamics of arbitrary-range Ising models with decoherence: An exact analytic solution
Foss‐Feig, M., Hazzard, K. R. A., Bollinger, J. J., & Rey, A. M. (2013) · Physical Review A · doi:10.1103/physreva.87.042101 · Cited by 84 · see citing works
Davoudi, Z., Linke, N. M., & Pagano, G. (2021) · Physical Review Research · doi:10.1103/physrevresearch.3.043072 · Cited by 81 · see citing works
Tensor lattice field theory for renormalization and quantum computing
Meurice, Y., Sakai, R., & Unmuth-Yockey, J. (2022) · Reviews of Modern Physics · doi:10.1103/revmodphys.94.025005 · Cited by 78 · see citing works
Doret, S. C., Amini, J., Wright, K., Volin, C., Killian, T. N., Özakın, A., Denison, D. R., Hayden, H., Pai, C. S., Slusher, R. E., et al. (2012) · New Journal of Physics · doi:10.1088/1367-2630/14/7/073012 · Cited by 77 · see citing works
Experimental Realization of a Quantum Phase Transition of Polaritonic Excitations
Toyoda, K., Matsuno, Y., Noguchi, A., Haze, S., & Urabe, S. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.160501 · Cited by 76 · see citing works
Energy transport in trapped ion chains
Ramm, M. T., Pruttivarasin, T., & Häffner, H. (2014) · New Journal of Physics · doi:10.1088/1367-2630/16/6/063062 · Cited by 74 · see citing works
Cevolani, L., Despres, J., Carleo, G., Tagliacozzo, L., & Sanchez-Palencia, L. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.98.024302 · Cited by 74 · see citing works
XYZ Quantum Heisenberg Models with p -Orbital Bosons
Pinheiro, F., Bruun, G. M., Martikainen, J.-P., & Larson, J. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.205302 · Cited by 71 · see citing works
Sympathetic Electromagnetically-Induced-Transparency Laser Cooling of Motional Modes in an Ion Chain
Lin, Y., Gaebler, J., Tan, T. R., Bowler, R., Jost, J. D., Leibfried, D., & Wineland, D. J. (2013) · Physical Review Letters · doi:10.1103/physrevlett.110.153002 · Cited by 70 · see citing works
Collective State Measurement of Mesoscopic Ensembles with Single-Atom Resolution
Zhang, H., McConnell, R., Ćuk, S., Lin, Q., Schleier-Smith, M., Leroux, I. D., & Vuletić, V. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.133603 · Cited by 69 · see citing works
Finite-Size Scaling at First-Order Quantum Transitions
Massimo Campostrini, B., Nespolo, J., Andrea Pelissetto, C., & Vicari, E. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.070402 · Cited by 69 · see citing works
Global quantum correlations in finite-size spin chains
Campbell, S., Mazzola, L., Chiara, G. D., Apollaro, T. J. G., Plastina, F., Busch, T., & Paternostro, M. (2013) · New Journal of Physics · doi:10.1088/1367-2630/15/4/043033 · Cited by 68 · see citing works
Single Ions Trapped in a One-Dimensional Optical Lattice
Enderlein, M., Huber, T. M., Schneider, C., & Schaetz, T. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.233004 · Cited by 67 · see citing works
Richerme, P., Senko, C., Smith, J., Lee, A., Korenblit, S. É., & Monroe, C. R. (2013) · Physical Review A · doi:10.1103/physreva.88.012334 · Cited by 66 · see citing works
Self-citationDissipative Quantum Control of a Spin Chain
Morigi, G., Eschner, J., Cormick, C., Lin, Y., Leibfried, D. G., & Wineland, D. J. (2015) · Physical Review Letters · doi:10.1103/physrevlett.115.200502 · Cited by 65 · see citing works
Glassy Phase of Optimal Quantum Control
Day, A. G. R., Bukov, M., Weinberg, P., Mehta, P., & Sels, D. (2019) · Physical Review Letters · doi:10.1103/physrevlett.122.020601 · Cited by 64 · see citing works
Whitfield, J. D., Faccin, M., & Biamonte, J. (2012) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/99/57004 · Cited by 63 · see citing works
Quantum control of qubits and atomic motion using ultrafast laser pulses
Mizrahi, J., Neyenhuis, B., Johnson, K. G., Campbell, W. C., Senko, C., Hayes, D., & Monroe, C. (2013) · Applied Physics B · doi:10.1007/s00340-013-5717-6 · Cited by 63 · see citing works
Self-citationResonant Rydberg Dressing of Alkaline-Earth Atoms via Electromagnetically Induced Transparency
Gaul, C., DeSalvo, B. J., Aman, J. A., Dunning, F. B., Killian, T. C., & Pohl, T. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.243001 · Cited by 60 · see citing works
One-dimensional array of ion chains coupled to an optical cavity
Cetina, M., Bylinskii, A., Karpa, L., Gangloff, D. A., Beck, K. M., Ge, Y., Scholz, M., Grier, A. T., Chuang, I. L., & Vuletić, V. (2013) · New Journal of Physics · doi:10.1088/1367-2630/15/5/053001 · Cited by 59 · see citing works
Long-range Heisenberg models in quasiperiodically driven crystals of trapped ions
Bermúdez, A., Tagliacozzo, L., Sierra, G., & Richerme, P. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.95.024431 · Cited by 59 · see citing works
Cevolani, L., Carleo, G., & Sanchez-Palencia, L. (2016) · New Journal of Physics · doi:10.1088/1367-2630/18/9/093002 · Cited by 58 · see citing works
Observing the Nonequilibrium Dynamics of the Quantum Transverse-Field Ising Chain in Circuit QED
Viehmann, O., von Delft, J., & Marquardt, F. (2013) · Physical Review Letters · doi:10.1103/physrevlett.110.030601 · Cited by 58 · see citing works
Sawyer, B. C., Britton, J., Keith, A. C., Wang, C. ‐. J., Freericks, J. K., Uys, H., Biercuk, M. J., & Bollinger, J. J. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.213003 · Cited by 58 · see citing works
Self-citationEnergy storage and coherence in closed and open quantum batteries
Caravelli, F., Yan, B., García-Pintos, L. P., & Hamma, A. (2021) · Quantum · doi:10.22331/q-2021-07-15-505 · Cited by 57 · see citing works
Koziol, J. A., Langheld, A., Kapfer, S. C., & Schmidt, K. P. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.103.245135 · Cited by 57 · see citing works
Calculating unknown eigenvalues with a quantum algorithm
Zhou, X., Kalasuwan, P., Ralph, T. C., & O’Brien, J. L. (2013) · Nature Photonics · doi:10.1038/nphoton.2012.360 · Cited by 57 · see citing works
Generalized Dicke Nonequilibrium Dynamics in Trapped Ions
Genway, S., Li, W., Ates, C., Lanyon, B. P., & Lesanovsky, I. (2014) · Physical Review Letters · doi:10.1103/physrevlett.112.023603 · Cited by 55 · see citing works
Critical quantum metrology with fully-connected models: from Heisenberg to Kibble–Zurek scaling
Garbe, L., Abah, O., Felicetti, S., & Puebla, R. (2022) · Quantum Science and Technology · doi:10.1088/2058-9565/ac6ca5 · Cited by 54 · see citing works
Precise Experimental Investigation of Eigenmodes in a Planar Ion Crystal
Kaufmann, H., Ulm, S., Jacob, G., Poschinger, U., Landa, H., Retzker, A., Plenio, M. B., & Schmidt‐Kaler, F. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.263003 · Cited by 54 · see citing works
Unsupervised Machine Learning of Quantum Phase Transitions Using Diffusion Maps
Lidiak, A., & Gong, Z. (2020) · Physical Review Letters · doi:10.1103/physrevlett.125.225701 · Cited by 54 · see citing works
Fidelity susceptibility of the quantum Ising model in a transverse field: The exact solution
Damski, B. (2013) · Physical Review E · doi:10.1103/physreve.87.052131 · Cited by 52 · see citing works
Entanglement entropy in the long-range Kitaev chain
Ares, F., Esteve, J. G., Falceto, F., & de Queiroz, A. R. (2018) · Physical Review A · doi:10.1103/physreva.97.062301 · Cited by 52 · see citing works
Finite-Component Multicriticality at the Superradiant Quantum Phase Transition
Zhu, H., Xu, K. D., Zhang, G., & Liu, W. (2020) · Physical Review Letters · doi:10.1103/physrevlett.125.050402 · Cited by 52 · see citing works
Simulating Quantum Fields with Cavity QED
Barrett, S. D., Hammerer, K., Harrison, S. K., Northup, T. E., & Osborne, T. J. (2013) · Physical Review Letters · doi:10.1103/physrevlett.110.090501 · Cited by 51 · see citing works
Leung, V. Y. F., Pijn, D. R. M., Schlatter, H., Torralbo-Campo, L., Rooij, A. L., Mulder, G. B., Naber, J. B., Soudijn, M. L., Tauschinsky, A., Abarbanel, C., et al. (2014) · Review of Scientific Instruments · doi:10.1063/1.4874005 · Cited by 50 · see citing works
Fidelity Witnesses for Fermionic Quantum Simulations
Gluza, M., Kliesch, M., Eisert, J., & Aolita, L. (2018) · Physical Review Letters · doi:10.1103/physrevlett.120.190501 · Cited by 49 · see citing works
Chaos-driven dynamics in spin-orbit-coupled atomic gases
Larson, J., Anderson, B., & Altland, A. (2013) · Physical Review A · doi:10.1103/physreva.87.013624 · Cited by 48 · see citing works
Random transverse-field Ising chain with long-range interactions
Juhász, R., Kovács, I. A., & Iglói, F. (2014) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/107/47008 · Cited by 48 · see citing works
Experimental Realization of a Compressed Quantum Simulation of a 32-Spin Ising Chain
Li, Z., Zhou, H., Ju, C., Chen, H., Zheng, W., Lu, D., Rong, X., Duan, C., Peng, X., & Du, J. (2014) · Physical Review Letters · doi:10.1103/physrevlett.112.220501 · Cited by 48 · see citing works
Quantum Kibble-Zurek physics in long-range transverse-field Ising models
Puebla, R., Marty, O., & Plenio, M. B. (2019) · Physical Review A · doi:10.1103/physreva.100.032115 · Cited by 48 · see citing works
- Authors
- Islam, R., Edwards, E. E., Kim, K., Korenblit, S., Noh, C., Carmichael, H., Lin, G.-D., Duan, L.-M., Joseph Wang, C.-C., Freericks, J. K., & Monroe, C.
- Affiliations
- National Institute of Standards and Technology (US)
- University of Auckland (NZ)
- University of Michigan (US)
- Georgetown University (US)
- Corresponding author
- Islam, R.
- ORCID
- Venue
- Nature Communications
- Published
- 2011-07-05
- Volume
- 2
- Issue
- 1
- Pages
- 377-377
- ISSN
- 2041-1723 (ISSN-L)
- OpenAlex
- W2160005414
- Cited by
- 411
- References
- 28
- Citations by year
- 2026: 16 · 2025: 13 · 2024: 14 · 2023: 25 · 2022: 34 · 2021: 30 · 2020: 19 · 2019: 29 · 2018: 27 · 2017: 19 · 2016: 28 · 2015: 26 · 2014: 37 · 2013: 55 · 2012: 30
- FWCI
- 22.69
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- Locations
- Nature Communications (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation
- Defense Advanced Research Projects Agency
- Intelligence Advanced Research Projects Activity
- Army Research Office
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Cold Atom Physics and Bose-Einstein Condensates
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Keywords
- quantum phase transitions, trapped-ion quantum simulator, quantum Ising model, ferromagnetic ordering, magnetization, spin liquid, order parameter, Yb3+, transverse field
- MeSH terms
- Computer Simulation, Fluorescence, Isotopes, Magnetics, Models, Theoretical, Monte Carlo Method, Quantum Theory, Thermodynamics, Ytterbium, Phase Transition
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