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Many-body localization in a quantum simulator with programmable random disorder
Open accessAbstract
Interacting quantum systems are expected to thermalize, but in some situations in the presence of disorder they can exist in localized states instead. This many-body localization is studied experimentally in a small system with programmable disorder. When a system thermalizes it loses all memory of its initial conditions. Even within a closed quantum system, subsystems usually thermalize using the rest of the system as a heat bath. Exceptions to quantum thermalization have been observed, but typically require inherent symmetries1,2 or noninteracting particles in the presence of static disorder3,4,5,6. However, for strong interactions and high excitation energy there are cases, known as many-body localization (MBL), where disordered quantum systems can fail to thermalize7,8,9,10. We experimentally generate MBL states by applying an Ising Hamiltonian with long-range interactions and programmable random disorder to ten spins initialized far from equilibrium. Using experimental and numerical methods we observe the essential signatures of MBL: initial-state memory retention, Poissonian distributed energy level spacings, and evidence of long-time entanglement growth. Our platform can be scaled to more spins, where a detailed modelling of MBL becomes impossible.
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Cites
Absence of Diffusion in Certain Random Lattices
Anderson, P. W. (1958) · Physical Review · doi:10.1103/physrev.109.1492 · Cited by 12,468
Quantum detection and estimation theory
Helstrom, C. W. (1969) · Journal of Statistical Physics · doi:10.1007/bf01007479 · Cited by 3,776
Statistical distance and the geometry of quantum states
Braunstein, S. L., & Caves, C. M. (1994) · Physical Review Letters · doi:10.1103/physrevlett.72.3439 · Cited by 3,176
Chaos and quantum thermalization
Srednicki, M. (1994) · Physical Review E · doi:10.1103/physreve.50.888 · Cited by 3,175
Thermalization and its mechanism for generic isolated quantum systems
Rigol, M., Dunjko, V., & Olshanii, M. (2008) · Nature · doi:10.1038/nature06838 · Cited by 3,065
Quantum statistical mechanics in a closed system
Deutsch, J. M. (1991) · Physical Review A · doi:10.1103/physreva.43.2046 · Cited by 2,860
Quantum Detection and Estimation Theory
(1976) · Mathematics in Science and Engineering · doi:10.1016/s0076-5392(08)x6017-5 · Cited by 2,426
Many-Body Localization and Thermalization in Quantum Statistical Mechanics
Nandkishore, R., & Huse, D. A. (2015) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031214-014726 · Cited by 2,376
Self-citationKinoshita, T., Wenger, T., & Weiss, D. S. (2006) · Nature · doi:10.1038/nature04693 · Cited by 1,997
Localization of interacting fermions at high temperature
Oganesyan, V., & Huse, D. A. (2007) · Physical Review B · doi:10.1103/physrevb.75.155111 · Cited by 1,833
Self-citationAnderson localization of a non-interacting Bose–Einstein condensate
Roati, G., D’Errico, C., Fallani, L., Fattori, M., Fort, C., Zaccanti, M., Modugno, G., Modugno, M., & Inguscio, M. (2008) · Nature · doi:10.1038/nature07071 · Cited by 1,818
Observation of many-body localization of interacting fermions in a quasirandom optical lattice
Schreiber, M., Hodgman, S. S., Bordia, P., Lüschen, H. P., Fischer, M. H., Vosk, R., Altman, E., Schneider, U., & Bloch, I. (2015) · Science · doi:10.1126/science.aaa7432 · Cited by 1,724
Direct observation of Anderson localization of matter waves in a controlled disorder
Billy, J., Josse, V., Zuo, Z., Bernard, A., Hambrecht, B., Lugan, P., Clément, D., Sanchez-Palencia, L., Bouyer, P., & Aspect, A. (2008) · Nature · doi:10.1038/nature07000 · Cited by 1,670
Localization of light in a disordered medium
Wiersma, D. S., Bartolini, P., Lagendijk, A., & Righini, R. (1997) · Nature · doi:10.1038/37757 · Cited by 1,536
PROCEEDINGS OF THE INTERNATIONAL SCHOOL OF PHYSICS ≪ENRICO FERMI≫
(1993) · Semiconductor Superlattices and Interfaces · doi:10.1016/b978-0-444-81643-6.50027-3 · Cited by 1,523
Many-body localization phase transition
Pal, A., & Huse, D. A. (2010) · Physical Review B · doi:10.1103/physrevb.82.174411 · Cited by 1,495
Self-citationScalable multiparticle entanglement of trapped ions
Häffner, H., Hänsel, W., Roos, C. F., Benhelm, J., Chek-al-kar, D., Chwalla, M., Körber, T., Rapol, U. D., Riebe, M., Schmidt, P. O., et al. (2005) · Nature · doi:10.1038/nature04279 · Cited by 1,253
Unbounded Growth of Entanglement in Models of Many-Body Localization
Bardarson, J. H., Pollmann, F., & Moore, J. E. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.017202 · Cited by 1,056
Relaxation and Prethermalization in an Isolated Quantum System
Gring, M., Kuhnert, M., Langen, T., Kitagawa, T., Rauer, B., Schreitl, M., Mazets, I., Smith, D. A., Demler, E., & Schmiedmayer, J. (2012) · Science · doi:10.1126/science.1224953 · Cited by 1,047
Multiparticle Entanglement of Hot Trapped Ions
Mølmer, K., & Sørensen, A. (1999) · Physical Review Letters · doi:10.1103/physrevlett.82.1835 · Cited by 1,019
Local Conservation Laws and the Structure of the Many-Body Localized States
Serbyn, M., Papić, Z., & Abanin, D. A. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.127201 · Cited by 927
Quasiparticle engineering and entanglement propagation in a quantum many-body system
Jurcevic, P., Lanyon, B. P., Hauke, P., Hempel, C., Zoller, P., Blatt, R., & Roos, C. F. (2014) · Nature · doi:10.1038/nature13461 · Cited by 863
Self-citationNon-local propagation of correlations in quantum systems with long-range interactions
Richerme, P., Gong, Z.-X., Lee, A., Senko, C., Smith, J., Foss-Feig, M., Michalakis, S., Gorshkov, A. V., & Monroe, C. (2014) · Nature · doi:10.1038/nature13450 · Cited by 788
Self-citationEmergence and Frustration of Magnetism with Variable-Range Interactions in a Quantum Simulator
Islam, R., Senko, C., Campbell, W. C., Korenblit, S., Smith, J., Lee, A., Edwards, E. E., Wang, C.-C. J., Freericks, J. K., & Monroe, C. (2013) · Science · doi:10.1126/science.1232296 · Cited by 447
Self-citationDisorder-Induced Localization in a Strongly Correlated Atomic Hubbard Gas
Kondov, S. S., McGehee, W. R., Xu, W., & DeMarco, B. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.083002 · Cited by 279
Many-Body Localization in Dipolar Systems
Yao, N. Y., Laumann, C. R., Gopalakrishnan, S., Knap, M., Müller, M., Demler, E. A., & Lukin, M. D. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.243002 · Cited by 263
Burin, A. L. (2015) · Physical Review B · doi:10.1103/physrevb.92.104428 · Cited by 97
Many-body localization and quantum ergodicity in disordered long-range Ising models
Hauke, P., & Heyl, M. (2015) · Physical Review B · doi:10.1103/physrevb.92.134204 · Cited by 75
Self-citationKinoshita, T. (2006) · RePEc: Research Papers in Economics · Cited by 44
Entanglement growth in many-body localized systems with long-range interactions
Pino, M. (2014) · Physical Review B · doi:10.1103/physrevb.90.174204 · Cited by 40
Understanding analog quantum simulation dynamics in coupled ion-trap qubits
Wu, Y.-L., & Sarma, S. D. (2016) · Physical Review A · doi:10.1103/physreva.93.022332 · Cited by 28
Cited by
Quantum simulations with ultracold atoms in optical lattices
Gross, C., & Bloch, I. (2017) · Science · doi:10.1126/science.aal3837 · Cited by 1,527
Trapped-ion quantum computing: Progress and challenges
Bruzewicz, C. D., Chiaverini, J., McConnell, R., & Sage, J. M. (2019) · Applied Physics Reviews · doi:10.1063/1.5088164 · Cited by 1,483
Exploring the many-body localization transition in two dimensions
Choi, J.-Y., Hild, S., Zeiher, J., Schauß, P., Rubio-Abadal, A., Yefsah, T., Khemani, V., Huse, D. A., Bloch, I., & Gross, C. (2016) · Science · doi:10.1126/science.aaf8834 · Cited by 979
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-citationDynamical quantum phase transitions: a review
Heyl, M. (2018) · Reports on Progress in Physics · doi:10.1088/1361-6633/aaaf9a · Cited by 678
Self-citation
Metadata
- Authors
- Smith, J., Lee, A., Richerme, P., Neyenhuis, B., Hess, P. W., Hauke, P., Heyl, M., Huse, D. A., & Monroe, C.
- Venue
- Nature Physics
- Published
- 2016-06-06
- Volume
- 12
- Issue
- 10
- Pages
- 907-911
- ISSN
- 1745-2473 (ISSN-L)
- 1745-2481
- OpenAlex
- W1946803487
- Cited by
- 915
- References
- 31
- FWCI
- 55.56
- Type
- journal article
- Language
- en
- Open access
- bronze
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