1Non-Markovian Corrections to Quantum Regression Theorem for the Strong Coupling Spin-Boson Model

We report the results of an investigation of the effects of non-Markovian corrections to the dynamics of two-time correlation functions of the strong interaction spin-boson model. Beyond quantum regression theorem corrections are taken into account at the low environmental temperatures for a two-level system (TLS) which is in contact with a structured bath. The results indicate that the corrections lead to appreciable (small) quantitative (qualitative) differences for both biased and non-biased TLS settings.Keywords: Quantum regression theorem, open quantum systems, spin-boson model, quantum dynamics, two-time correlation functions

PDF

___

[1] M. O. Scully and M. S. Zubairy, "Quantum Optics", Cambridge Press, 1997.
[2] H. J. Carmichael "Statistical Methods in Quantum Optics", Springer Press, 1999.
[3] G. Guarnieri, A. Smirne, B. Vacchini, "Quantum regression theorem and nonMarkovianity of quantum dynamics", Phys. Rev. A, vol. 90, pp. 022110, 2014.
[4] H.-S. Goan, P.-W. Chen, C.-C. Jian, "NonMarkovian finite-temperature two-time correlation functions of system operators: Beyond the quantum regression theorem", J. Chem. Phys., vol. 134, pp. 124112, 2011.
[5] D. P. S. McCutcheon "Optical signatures of non-Markovian behavior in open quantum systems", Phys. Rev. A, vol. 93, pp. 022119, 2016.
[6] M. Cosacchi, M. Cygorek, F. Ungar, A. M. Barth, A. Vagov, V. M. Axt, "Path-integral approach for nonequilibrium multitime correlation functions of open quantum systems coupled to Markovian and nonMarkovian environments", Phys. Rev. B, vol. 98, pp. 125302, 2018.
[7] D. Alonso, I. de Vega, "Multiple-Time Correlation Functions for Non-Markovian Interaction: Beyond the Quantum Regression Theorem", Phys. Rev. Lett., vol. 94, pp. 200403, 2005.
[8] D. Alonso, I. de Vega, "Hierarchy of equations of multiple-time correlation functions", Phys. Rev. A, vol. 75, pp. 052108, 2007.
[9] I. de Vega, D. Alonso, "Non-Markovian reduced propagator, multiple-time correlation functions, and master equations with general initial conditions in the weakcoupling limit", Phys. Rev. A, vol. 73, pp. 022102, 2006.
[10] I. de Vega, D. Alonso, "Emission spectra of atoms with non-Markovian interaction: Fluorescence in a photonic crystal", Phys. Rev. A, vol. 77, pp. 043836, 2008.
[11] H.-S. Goan, C.-C. Jian, P.-W. Chen, "NonMarkovian finite-temperature two-time correlation functions of system operators of a pure-dephasing model", Phys. Rev. A, vol. 82, pp. 012111, 2010.
[12] M. M. Ali, P.-Y. Lo, M. W.-Y. Tu, W.-M. Zhang, "Non-Markovianity measure using two-time correlation functions", Phys. Rev. A, vol. 92, pp. 062306, 2015.
[13] H.-P. Breuer, E.-M. Laine, J. Piilo, "Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems", Phys. Rev. Lett., vol. 103, pp. 210401, 2009.
[14] A. Garg, J. N. Onuchic, V. J. Ambegaokar, "Effect of Friction on Electron Transfer in Biomolecules", J. Chem. Phys., vol. 83, pp. 4491-4503, 1985.