[1]
|
H. P. Breuer and F. Petruccione, “The Theory of Open Quantum Systems,” Oxford University Press, Oxford, 2007. doi:10.1093/acprof:oso/9780199213900.001.0001
|
[2]
|
Y. Kubota and K. Nobusada, “Applicability of Site-Basis Time-Evolution Equation for Thermalization of Exciton States in a Quantum Dot Array,” Journal of the Physical Society of Japan, Vol. 78, No. 11, 2009, Article ID: 114603.
doi:10.1143/JPSJ.78.114603
|
[3]
|
Y. H. Ji and J. J. Hu, “Entanglement and Decoherence of Coupled Superconductor Qubits in a Non-Markovian Environments,” Chinese Physics B, Vol. 19, No. 6, 2010, Article ID: 060304. doi:10.1088/1674-1056/19/6/060304
|
[4]
|
J. Shao, “Decoupling Quantum Dissipation Interaction via Stochastic Fields,” Journal of Chemical Physics, Vol. 120, No. 11, 2004, p. 5053. doi:10.1063/1.1647528
|
[5]
|
A. W. Chin, A. Datta, F. Caruso, S. F. Huelga and M. B. Plenio, “Noise-Assisted Energy Transfer in Quantum Networks and Light-Harvesting Complexes,” New Journal of Physics, Vol. 12, No. 6, 2010, Article ID: 065002.
doi:10.1088/1367-2630/12/6/065002
|
[6]
|
A. G. Dijkstra and Y. Tanimura, “Non-Markovian Entanglement Dynamics in the Presence of System-Bath Coherence,” Physical Review Letters, Vol. 104, No. 25, 2010, Article ID: 250401.
doi:10.1103/PhysRevLett.104.250401
|
[7]
|
B. Bellomo, R. Lo Franco and G. Compagno, “Non-Markovian Effects on the Dynamics of Entanglement,” Physical Review Letters, Vol. 99, No. 16, 2007, Article ID: 160502. doi:10.1103/PhysRevLett.99.160502
|
[8]
|
A. W. Chin, S. F. Huelga and M. B. Plenio, “Quantum Metrology in Non-Markovian Environments,” Physical Review Letters, Vol. 109, No. 23, 2012, Article ID: 233601.
doi:10.1103/PhysRevLett.109.233601
|
[9]
|
R. Vasile, S. Olivares, M. G. A. Paris and S. Maniscalco, “Continuous-Variable Quantum Key Distribution in Non- Markovian Channels,” Physical Review A, Vol. 83, No. 4, 2011, Article ID: 042321.
doi:10.1103/PhysRevA.83.042321
|
[10]
|
H. P. Breuer, E. M. Laine and J. Piilo, “Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems,” Physical Review Letters, Vol. 103, No. 21, 2009, Article ID: 210401.
doi:10.1103/PhysRevLett.103.210401
|
[11]
|
A. Rivas, S. F. Huelga and M. B. Plenio, “Entanglement and Non-Markovianity of Quantum Evolutions,” Physical Review Letters, Vol. 105, No. 5, 2010, Article ID: 050403.
doi:10.1103/PhysRevLett.105.050403
|
[12]
|
M. M. Wolf, J. Eisert, T. S. Cubitt and J. I. Cirac, “Assessing Non-Markovian Quantum Dynamics,” Physical Review Letters, Vol. 101, No. 15, 2008, Article ID: 150402.
doi:10.1103/PhysRevLett.101.150402
|
[13]
|
A. R. Usha Devi, A. K. Rajagopal, Sudha, “Open-System Quantum Dynamics with Correlated Initial States, Not Completely Positive Maps, and Non-Markovianity,” Physical Review A, Vol. 83, No. 2, 2011, Article ID: 022109.
doi:10.1103/PhysRevA.83.022109
|
[14]
|
X. M. Lu, X. G. Wang and C. P. Sun, “Quantum Fisher Information Flow and Non-Markovian Processes of Open Systems,” Physical Review A, Vol. 82, No. 4, 2010, Article ID: 042103. doi:10.1103/PhysRevA.82.042103
|
[15]
|
S. Luo, S. Fu and H. Song, “Quantifying Non-Markovianity via Correlations,” Physical Review A, Vol. 86, No. 4, 2012, Article ID: 044101.
doi:10.1103/PhysRevA.86.044101
|
[16]
|
D. Chruscinski, A. Kossakowski and A. Rivas, “Measures of Non-Markovianity: Divisibility versus Backflow of Information,” Physical Review A, Vol. 83, No. 5, 2011, Article ID: 052128. doi:10.1103/PhysRevA.83.052128
|
[17]
|
H. S. Zeng, N. Tang, Y. P. Zheng and G. Y. Wang, “Equivalence of the Measures of Non-Markovianity for Open Two-Level,” Physical Review A, Vol. 84, No. 3, 2011, Article ID: 032118. doi:10.1103/PhysRevA.84.032118
|
[18]
|
A. Shabani and D. A. Lidar, “Vanishing Quantum Discord is Necessary and Sufficient for Completely Positive Maps,” Physical Review Letters, Vol. 102, No. 10, 2009, Article ID: 100402. doi:10.1103/PhysRevLett.102.100402
|
[19]
|
H. P. Breuer and B. Vacchini, “Structure of Completely Positive Quantum Master Equations with Memory Kernel,” Physical Review E, Vol. 79, No. 4, 2009, Article ID: 041147. doi:10.1103/PhysRevE.79.041147
|
[20]
|
P. Haikka and S. Maniscalco, “Non-Markovian Dynamics of a Damped Driven Two-State System,” Physical Review A, Vol. 81, No. 5, 2010, Article ID: 052103.
doi:10.1103/PhysRevA.81.052103
|
[21]
|
K. W. Chang and C. K. Law, “Non-Markovian Master Equation for a Damped Oscillator with Time-Varying Parameters,” Physical Review A, Vol. 81, No. 5, 2010, Article ID: 052105. doi:10.1103/PhysRevA.81.052105
|
[22]
|
W. J. Gu and G. Y. Li, “Non-Markovian Behavior for Spontaneous Decay of a V-Type Three-Level Atom with Quantum Interference,” Physical Review A, Vol. 85, No. 1, 2012, Article ID: 014101.
doi:10.1103/PhysRevA.85.014101
|
[23]
|
D. Chruscinski, A. Kossakowski and S. Pascazio, “Long-Time Memory in Non-Markovian Evolutions,” Physical Review A, Vol. 81, No. 3, 2010, Article ID: 032101.
doi:10.1103/PhysRevA.81.032101
|
[24]
|
P. Haikka, J. D. Cresser and S. Maniscalco, “Comparing Different Non-Markovianity Measures in a Driven Qubit System,” Physical Review A, Vol. 83, No. 1, 2011, Article ID: 012112. doi:10.1103/PhysRevA.83.012112
|
[25]
|
X. Yin, J. Ma, X. Wang and F. Nori, “Spin Squeezing under Non-Markovian Channels by the Hierarchy Equation Method,” Physical Review A, Vol. 86, No. 1, 2012, Article ID: 012308. doi:10.1103/PhysRevA.86.012308
|
[26]
|
J. Li, G. McKeown, F. L. Semiao and M. Paternostro, “Non-Markovian Effects on the Nonlocality of a Qubit-Oscillator System,” Physical Review A, Vol. 85, No. 2, 2012, Article ID: 022116. doi:10.1103/PhysRevA.85.022116
|
[27]
|
J. S. Xu, C. F. Li, M. Gong, X. B. Zou, C. H. Shi, G. Chen and G. C. Guo, “Experimental Demonstration of Photonic Entanglement Collapse and Revival,” Physical Review Letters, Vol. 104, No. 10, 2010, Article ID: 100502.
doi:10.1103/PhysRevLett.104.100502
|
[28]
|
J. S. Xu, C. F. Li, C. J. Zhang, X. Y. Xu, Y. S. Zhang and G. C. Guo, “Experimental Investigation of the Non-Markovian Dynamics of Classical and Quantum Correlations,” Physical Review A, Vol. 82, No. 4, 2010, Article ID: 042328.
doi:10.1103/PhysRevA.82.042328
|
[29]
|
B. H. Liu, L. Li, Y. F. Huang, C. F. Li, G. C. Guo, E. M. Laine, H. P. Breuer and J. Piilo, “Experimental Control of the Transition from Markovian to Non-Markovian Dynamics of Open Quantum Systems,” Nature Physics, Vol. 7, No. 12, 2011, pp. 931-934. doi:10.1038/nphys2085
|
[30]
|
J. S. Tang, C. F. Li, Y. L. Li, X. B. Zou, G. C. Gou, H. P. Breuer, E. M. Laine and J. Piilo, “Measuring Non-Markovianity of Processes with Controllable System-Environment Interaction,” Europhysics Letters, Vol. 97, No. 1, 2012, Article ID: 10002.
doi:10.1209/0295-5075/97/10002
|
[31]
|
S. Maniscalco, J. Piilo, F. Intravaia, F. Petruccione and A. Messina, “Lindblad and Non-Lindblad-Type Dynamics of a Quantum Brownian Particle,” Physical Review A, Vol. 70, No. 3, 2004, Article ID: 032113.
doi:10.1103/PhysRevA.70.032113
|
[32]
|
M. J. W. Hall, “Complete Positivity for Time-Dependent Qubit Master Equations,” Journal of Physics A: Mathematical and Theoretical, Vol. 41, No. 20, 2008, Article ID: 205302. doi:10.1088/1751-8113/41/20/205302
|
[33]
|
M. A. Nielsen and I. L. Chuang, “Quantum Computation and Quantum Information,” Cambridge University Press, Cambridge, 2000.
|
[34]
|
G. Clos and H. P. Breuer, “Quantification of Memory Effects in the Spin-Boson Model,” Physical Review A, Vol. 86, No. 1, 2012, Article ID: 012115.
doi:10.1103/PhysRevA.86.012115
|
[35]
|
J.-G. Li, J. Zou and B. Shao, “Non-Markovianity of the Damped Jaynes-Cummings Model with Detuning,” Physical Review A, Vol. 81, No. 6, 2010, Article ID: 062124.
doi:10.1103/PhysRevA.81.062124
|
[36]
|
E. M. Laine, J. Piilo and H. P. Breuer, “Measure for the Non-Markovianity of Quantum Processes,” Physical Review A, Vol. 81, No. 6, 2010, Article ID: 062115.
doi:10.1103/PhysRevA.81.062115
|
[37]
|
Z. Y. Xu, W. L. Yang and M. Feng, “Proposed Method for Direct Measurement of the Non-Markovian Character of the Qubits Coupled to Bosonic Reservoirs,” Physical Review A, Vol. 81, No. 4, 2010, Article ID: 044105.
doi:10.1103/PhysRevA.81.044105
|
[38]
|
Z. He, J. Zou, L. Li and B. Shao, “Effective Method of Calculating the Non-Markovianity N for Single-Channel Open Systems,” Physical Review A, Vol. 83, No. 1, 2011, Article ID: 012108. doi:10.1103/PhysRevA.83.012108
|
[39]
|
M. Woldeyohannes and S. John, “Coherent Control of Spontaneous Emission near a Photonic Band Edge,” Journal of Optics B: Quantum and Semiclassical Optics, Vol. 5, No. 2, 2003, p. 43. doi:10.1088/1464-4266/5/2/201
|