Frozen Gaussian quantum discord in photonic crystal cavity array system
Open accessAbstract
Protecting quantum correlation from decoherence is one of the crucial issues in quantum information processing. It has been commonly recognized that any initial quantum correlation of a composite system diminishes asymptotically or abruptly to zero under local Markovian decoherence. Here we show that, contrary to this recognition, a noticeable Gaussian quantum discord of a continuous-variable bipartite system can be frozen in the steady state in the non-Markovian dynamics if each of the subsystems forms a localized mode with its local reservoir. The condition for this frozen quantum discord can be reached by appropriately engineering the structure of the reservoirs. The possible realization of our results in a coupled cavity array system formed by a photonic crystal is proposed.
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Our mechanism is applicable to a dissipative harmonic oscillator, whose dynamics is governed by the same bound-state mechanism as our TLS, and the spin-boson model, where the bound state has been found playing a leading role in the quantum phase transition.
“Our mechanism is applicable to a dissipative harmonic oscillator, whose dynamics is governed by the same bound-state mechanism as our TLS [45, 46], and the spinboson model, where the bound state has been found playing a leading role in the quantum phase transition of the model [39, 47].”
From Mechanism for quantum speedup in open quantum systems (2016) · cites this paper as [45]
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Cites
Horodecki, R., Horodecki, P., Horodecki, M., & Horodecki, K. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.865 · Cited by 10,118 · see citing works
Dynamics of the dissipative two-state system
Leggett, A. J., Chakravarty, S., Dorsey, A. T., Fisher, M. P. A., Garg, A., & Zwerger, W. (1987) · Reviews of Modern Physics · doi:10.1103/revmodphys.59.1 · Cited by 5,109 · see citing works
Quantum Discord: A Measure of the Quantumness of Correlations
Ollivier, H., & Zurek, W. H. (2001) · Physical Review Letters · doi:10.1103/physrevlett.88.017901 · Cited by 3,616 · see citing works
Photonic Floquet topological insulators
Rechtsman, M. C., Zeuner, J. M., Plotnik, Y., Lumer, Y., Podolsky, D., Dreisow, F., Nolte, S., Segev, M., & Szameit, A. (2013) · Nature · doi:10.1038/nature12066 · Cited by 3,332 · see citing works
The theory of a general quantum system interacting with a linear dissipative system
Feynman, R. P., & Vernon, F. L. (1963) · Annals of Physics · doi:10.1016/0003-4916(63)90068-x · Cited by 2,861 · see citing works
Classical, quantum and total correlations
Henderson, L., & Vedral, V. (2001) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/34/35/315 · Cited by 2,344 · see citing works
Quantum nature of a strongly coupled single quantum dot–cavity system
Hennessy, K. J., Badolato, A., Winger, M., Gerace, D., Atatüre, M., Gulde, S., Fält, S., Hu, E. L., & İmamoğlu, A. (2007) · Nature · doi:10.1038/nature05586 · Cited by 1,835 · see citing works
Finite-Time Disentanglement Via Spontaneous Emission
Yu, T., & Eberly, J. H. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.140404 · Cited by 1,643 · see citing works
Quantum Discord and the Power of One Qubit
Datta, A., Shaji, A., & Caves, C. M. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.050502 · Cited by 1,240 · see citing works
An open-system quantum simulator with trapped ions
Barreiro, J. T., Müller, M., Schindler, P., Nigg, D., Monz, T., Chwalla, M., Hennrich, M., Roos, C. F., Zoller, P., & Blatt, R. (2011) · Nature · doi:10.1038/nature09801 · Cited by 1,100 · see citing works
Quantum discord for two-qubit systems
Luo, S. (2008) · Physical Review A · doi:10.1103/physreva.77.042303 · Cited by 1,060 · see citing works
Environment-Induced Sudden Death of Entanglement
de Almeida, M. P., de Melo, F., Hor-Meyll, M. O., Salles, A., Walborn, S. P., Ribeiro, P. H. S., & Davidovich, L. (2007) · Science · doi:10.1126/science.1139892 · Cited by 913 · see citing works
Power of One Bit of Quantum Information
Knill, E. H., & Laflamme, R. (1998) · Physical Review Letters · doi:10.1103/physrevlett.81.5672 · Cited by 880 · see citing works
Experimental Quantum Computing without Entanglement
Lanyon, B. P., Barbieri, M., Almeida, M. P., & White, A. G. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.200501 · Cited by 874 · see citing works
Quantum discord for two-qubit X states
Ali, M., Rau, A. R. P., & Alber, G. (2010) · Physical Review A · doi:10.1103/physreva.81.042105 · Cited by 837 · see citing works
Kippenberg, T. J., & Vahala, K. J. (2007) · Optics Express · doi:10.1364/oe.15.017172 · Cited by 799 · see citing works
Weiß, U. (2008) · Series in modern condensed matter physics · doi:10.1142/6738 · Cited by 690 · see citing works
Robustness of quantum discord to sudden death
Werlang, T., Souza, S., Fanchini, F. F., & Villas-Bôas, C. J. (2009) · Physical Review A · doi:10.1103/physreva.80.024103 · Cited by 544 · see citing works
Sudden Transition between Classical and Quantum Decoherence
Mazzola, L., Piilo, J., & Maniscalco, S. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.200401 · Cited by 519 · see citing works
Climbing the Jaynes–Cummings ladder and observing its nonlinearity in a cavity QED system
Fink, J. M., Göppl, M., Baur, M., Bianchetti, R., Leek, P., Blais, A., & Wallraff, A. J. (2008) · Nature · doi:10.1038/nature07112 · Cited by 518 · see citing works
Almost all quantum states have nonclassical correlations
Ferraro, A., Aolita, L., Cavalcanti, D., Cucchietti, F., & Acín, A. (2010) · Physical Review A · doi:10.1103/physreva.81.052318 · Cited by 513 · see citing works
Quantum versus Classical Correlations in Gaussian States
Adesso, G., & Datta, A. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.030501 · Cited by 494 · see citing works
Giorda, P., & Paris, M. G. A. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.020503 · Cited by 489 · see citing works
Non-Markovian dynamics of quantum discord
Fanchini, F. F., Werlang, T., Brasil, C. A., Arruda, L. G. E., & Caldeira, A. O. (2010) · Physical Review A · doi:10.1103/physreva.81.052107 · Cited by 464 · see citing works
Large-scale arrays of ultrahigh-Q coupled nanocavities
Notomi, M., Kuramochi, E., & Tanabe, T. (2008) · Nature Photonics · doi:10.1038/nphoton.2008.226 · Cited by 442 · see citing works
Experimental investigation of classical and quantum correlations under decoherence
Xu, J., Xu, X., Li, C., Zhang, C., Zou, X., & Guo, G. (2010) · Nature Communications · doi:10.1038/ncomms1005 · Cited by 434 · see citing works
Weiß, U. (2008) · Series in modern condensed matter physics · doi:10.1142/9789812791795 · Cited by 395 · see citing works
Observation of Topological Phase Transitions in Photonic Quasicrystals
Verbin, M., Zilberberg, O., Kraus, Y. E., Lahini, Y., & Silberberg, Y. R. (2013) · Physical Review Letters · doi:10.1103/physrevlett.110.076403 · Cited by 374 · see citing works
General Non-Markovian Dynamics of Open Quantum Systems
Zhang, W.-M., Lo, P.-Y., Xiong, H.-N., Tu, M. W.-Y., & Nori, F. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.170402 · Cited by 349 · see citing works
Non-Markovian effect on the quantum discord
Wang, B., Xu, Z., Chen, Z., & Feng, M. (2010) · Physical Review A · doi:10.1103/physreva.81.014101 · Cited by 290 · see citing works
DYNAMICS OF QUANTUM CORRELATIONS IN TWO-QUBIT SYSTEMS WITHIN NON-MARKOVIAN ENVIRONMENTS
Franco, R. L., Bellomo, B., Maniscalco, S., & Compagno, G. (2012) · International Journal of Modern Physics B · doi:10.1142/s0217979213450537 · Cited by 252 · see citing works
Cavity-Assisted Quantum Bath Engineering
Murch, K. W., Vool, U., Zhou, D., Weber, S. J., Girvin, S. M., & Siddiqi, I. A. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.183602 · Cited by 228 · see citing works
Non-Markovianity-Assisted Steady State Entanglement
Huelga, S. F., Rivas, Á., & Plenio, M. B. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.160402 · Cited by 203 · see citing works
Behavior of Quantum Correlations under Local Noise
Streltsov, A., Kampermann, H., & Bruß, D. (2011) · Physical Review Letters · doi:10.1103/physrevlett.107.170502 · Cited by 189 · see citing works
Revival of quantum correlations without system-environment back-action
Lo Franco, R., Bellomo, B., Andersson, E., & Compagno, G. (2012) · Physical Review A · doi:10.1103/physreva.85.032318 · Cited by 188 · see citing works
Establishing Einstein-Poldosky-Rosen Channels between Nanomechanics and Atomic Ensembles
Hammerer, K., Aspelmeyer, M., Polzik, E. S., & Zoller, P. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.020501 · Cited by 186 · see citing works
Non-Markovianity of local dephasing channels and time-invariant discord
Haikka, P., Johnson, T. H., & Maniscalco, S. (2013) · Physical Review A · doi:10.1103/physreva.87.010103 · Cited by 172 · see citing works
Non-Markovian entanglement dynamics of noisy continuous-variable quantum channels
An, J., & Zhang, W.-M. (2007) · Physical Review A · doi:10.1103/physreva.76.042127 · Cited by 157 · see citing works
Self-citationAaronson, B., Franco, R. L., & Adesso, G. (2013) · Physical Review A · doi:10.1103/physreva.88.012120 · Cited by 157 · see citing works
Environment-Induced Sudden Transition in Quantum Discord Dynamics
Auccaise, R., Céleri, L. C., Soares-Pinto, D. O., DeAzevedo, E. R., Maziero, J., Souza, A. M., Bonagamba, T. J., Sarthour, R. S., Oliveira, I. S., & Serra, R. M. (2011) · Physical Review Letters · doi:10.1103/physrevlett.107.140403 · Cited by 155 · see citing works
Integration of fiber-coupled high-Q SiNx microdisks with atom chips
Barclay, P. E., Srinivasan, K. A., Painter, O. J., Lev, B., & Mabuchi, H. (2006) · Applied Physics Letters · doi:10.1063/1.2356892 · Cited by 132 · see citing works
Field Locked to a Fock State by Quantum Feedback with Single Photon Corrections
Zhou, X., Dotsenko, I., Peaudecerf, B., Rybarczyk, T., Sayrin, C., Gleyzes, S., Raimond, J. M., Brune, M., & Haroche, S. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.243602 · Cited by 126 · see citing works
Creating quantum correlations through local nonunitary memoryless channels
Ciccarello, F., & Giovannetti, V. (2012) · Physical Review A · doi:10.1103/physreva.85.010102 · Cited by 103 · see citing works
Design and analysis of photonic crystal coupled cavity arrays for quantum simulation
Majumdar, A., Rundquist, A., Bajcsy, M., Dasika, V. D., Bank, S. R., & Vučković, J. (2012) · Physical Review B · doi:10.1103/physrevb.86.195312 · Cited by 96 · see citing works
Nonclassical correlations in non-Markovian continuous-variable systems
Vasile, R., Giorda, P., Olivares, S., Paris, M. G. A., & Maniscalco, S. (2010) · Physical Review A · doi:10.1103/physreva.82.012313 · Cited by 89 · see citing works
Direct Observation of Non-Markovian Radiation Dynamics in 3D Bulk Photonic Crystals
Hoeppe, U., Wolff, C., Küchenmeister, J., Niegemann, J., Drescher, M., Benner, H., & Busch, K. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.043603 · Cited by 88 · see citing works
Quantum mechanics of radiation damping
Barone, P. M. V. B., & Caldeira, A. O. (1991) · Physical Review A · doi:10.1103/physreva.43.57 · Cited by 87 · see citing works
Experimental Investigation of the Evolution of Gaussian Quantum Discord in an Open System
Madsen, L. S., Berni, A., Lassen, M., & Andersen, U. L. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.030402 · Cited by 65 · see citing works
You, B., & Cen, L.-X. (2012) · Physical Review A · doi:10.1103/physreva.86.012102 · Cited by 47 · see citing works
Correa, L. A., Valido, A. A., & Alonso, D. (2012) · Physical Review A · doi:10.1103/physreva.86.012110 · Cited by 40 · see citing works
Local-channel-induced rise of quantum correlations in continuous-variable systems
Ciccarello, F., & Giovannetti, V. (2012) · Physical Review A · doi:10.1103/physreva.85.022108 · Cited by 40 · see citing works
Quantum correlation and classical correlation dynamics in the spin-boson model
Ge, R.-C., Gong, M., Li, C., Xu, J., & Guo, G. (2010) · Physical Review A · doi:10.1103/physreva.81.064103 · Cited by 39 · see citing works
Exact Solution for a Non-Markovian Dissipative Quantum Dynamics
Ferialdi, L., & Bassi, A. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.170404 · Cited by 35 · see citing works
Dynamics of Gaussian discord between two oscillators interacting with a common environment
Freitas, J. N., & Paz, J. P. (2012) · Physical Review A · doi:10.1103/physreva.85.032118 · Cited by 22 · see citing works
Entanglement and discord in two-mode Gaussian open quantum systems
Исар, А. (2012) · Physica Scripta · doi:10.1088/0031-8949/2012/t147/014015 · Cited by 17 · see citing works
Flagged first, then by citations
Research works printed but not linked: 2
- [28]B. Aaronson, R. Lo Franco, and G. Adesso, Phys. Rev. A 88, 012120 (2013); R. Lo Franco, B. Bellomo, E. Andersson, and G. Compagno, ibid. 85, 032318 (2012).
- [51]M. C. Rechtsman, J. M. Zeuner, Y. Plotnik, Y. Lumer, D. Podolsky, F. Dreisow, S. Nolte, M. Segev, and A. Szameit, Nature (London) 496, 196 (2013).
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- Authors
- Lü, Y.-Q., An, J.-H., Chen, X.-M., Luo, H.-G., & Oh, C. H.
- Affiliations
- Lanzhou University (CN)
- Centre for Quantum Technologies (SG)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2013-07-29
- Volume
- 88
- Issue
- 1
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2011421848
- Cited by
- 20
- References
- 55
- Citations by year
- 2024: 1 · 2022: 2 · 2021: 1 · 2020: 3 · 2019: 1 · 2017: 4 · 2016: 1 · 2015: 5 · 2014: 2
- FWCI
- 2.94
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Lanzhou University Institutional Repository (submittedVersion, cc-by-nc)
- National University of Singapore (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum optics and atomic interactions
- Keywords
- quantum discord, non-Markovian dynamics, continuous-variable systems, localized modes, reservoir engineering, decoherence, steady state, bipartite quantum correlations
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