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Quantum Information Processing
Published in: Quantum Information Processing 11/2018

01-11-2018

Coherent dynamics of a qubit–oscillator system in a noisy environment

Authors: Wei Wu, Jun-Qing Cheng

Published in: Quantum Information Processing | Issue 11/2018

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Abstract

We investigate the non-Markovian dynamics of a qubit–oscillator system embedded in a noisy environment by employing the hierarchical equations of motion approach. It is shown that the decoherence rate of the whole qubit–oscillator–bath system can be significantly suppressed by enhancing the coupling strength between the qubit and the harmonic oscillator. Moreover, we find that the non-Markovian memory character of the bath is able to facilitate a robust quantum coherent dynamics in this qubit–oscillator–bath system. Our findings may be used to engineer some tunable coherent manipulations in mesoscopic quantum circuits.
previous article Herring–Flicker coupling and thermal quantum correlations in bipartite system
next article Effects of measurement dependence on tilted CHSH Bell tests

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Appendix
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Literature
1.
Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)MATH
2.
Georgescu, I.M., Ashhab, S., Nori, F.: Quantum simulation. Rev. Mod. Phys. 86, 153 (2014)ADSCrossRef
3.
4.
Modi, K., Brodutch, A., Cable, H., Paterek, T., Vedral, V.: The classical-quantum boundary for correlations: discord and related measures. Rev. Mod. Phys. 84, 1655 (2012)ADSCrossRef
5.
Baumgratz, T., Cramer, M., Plenio, M.B.: Quantifying coherence. Phys. Rev. Lett. 113, 140401 (2014)ADSCrossRef
6.
Streltsov, A., Rana, S., Bera, M.N., Lewenstein, M.: Towards resource theory of coherence in distributed scenarios. Phys. Rev. X 7, 011024 (2017)
7.
8.
Breuer, H.-P., Petruccione, F.: The Theory of Open Quantum Systems. Oxford University Press, Oxford (2002)MATH
9.
Leggett, A.J., Chakravarty, S., Dorsey, A.T., Fisher, M.P.A., Garg, A., Zwerger, W.: Dynamics of the dissipative two-state system. Rev. Mod. Phys. 59, 1 (1987)ADSCrossRef
10.
Breuer, H.-P., Laine, E.-M., Piilo, J., Vacchini, B.: Non-Markovian dynamics in open quantum systems. Rev. Mod. Phys. 88, 021002 (2016)ADSCrossRef
11.
12.
13.
Shiokawa, K., Lidar, D.A.: Dynamical decoupling using slow pulses: efficient suppression of \(1/f\) noise. Phys. Rev. A 69, 030302 (2004)ADSCrossRef
14.
Xu, H.-S., Xu, J.-B.: Protecting quantum correlations of two qubits in independent non-Markovian environments by bang-bang pulses. J. Opt. Soc. Am. B 29, 2074 (2012)ADSCrossRef
15.
Wu, W., Luo, D.-W., Xu, J.-B.: Double sudden transitions of geometric discord at finite-temperature in the framework of stochastic description. J. Appl. Phys. 115, 244906 (2014)ADSCrossRef
16.
Huang, P., Zheng, H.: Effect of bath temperature on the quantum decoherence. Chem. Phys. Lett. 500, 256 (2010)ADSCrossRef
17.
Wu, W., Lin, H.-Q.: Effect of bath temperature on the decoherence of quantum dissipative systems. Phys. Rev. A 94, 062116 (2016)ADSCrossRef
18.
Vierheilig, C., Bercioux, D., Grifoni, M.: Dynamics of a qubit coupled to a dissipative nonlinear quantum oscillator: an effective-bath approach. Phys. Rev. A 83, 012106 (2011)ADSCrossRef
19.
Yao, Y.: Coherent dynamics of singlet fission controlled by nonlocal electron–phonon coupling. Phys. Rev. B 93, 115426 (2016)ADSCrossRef
20.
Ma, T., Chen, Y., Chen, T., Hedemann, S.R., Yu, T.: Crossover between non-Markovian and Markovian dynamics induced by a hierarchical environment. Phys. Rev. A 90, 042108 (2014)ADSCrossRef
21.
Man, Z.-X., Xia, Y.-J., Franco, R.L.: Cavity-based architecture to preserve quantum coherence and entanglement. Sci. Rep. 5, 13843 (2015)ADSCrossRef
22.
Levi, E.K., Irish, E.K., Lovett, B.W.: Coherent exciton dynamics in a dissipative environment maintained by an off-resonant vibrational mode. Phys. Rev. A 93, 042109 (2016)ADSCrossRef
23.
Lv, Z., Zheng, H.: Engineered tunable decay rate and controllable dissipative dynamics. J. Chem. Phys. 136, 121103 (2012)ADSCrossRef
24.
Chen, H.-B., Lien, J.-Y., Hwang, C.-C., Chen, Y.-N.: Long-lived quantum coherence and non-Markovianity of photosynthetic complexes. Phys. Rev. E 89, 042147 (2014)ADSCrossRef
25.
Man, Z.-X., An, N.B., Xia, Y.-J.: Non-Markovian dynamics of a two-level system in the presence of hierarchical environments. Opt. Express 23, 5763 (2015)ADSCrossRef
26.
Tanimura, Y., Kubo, R.K.: Time evolution of a quantum system in contact with a nearly Gaussian–Markoffian noise bath. J. Phys. Soc. Jpn. 58, 101 (1989)ADSMathSciNetCrossRef
27.
Xu, R.X., Yan, Y.J.: Dynamics of quantum dissipation systems interacting with bosonic canonical bath: hierarchical equations of motion approach. Phys. Rev. E 75, 031107 (2007)ADSCrossRef
28.
Makarov, D.E., Makri, N.: Path integrals for dissipative systems by tensor multiplication. Condensed phase quantum dynamics for arbitrarily long time. Chem. Phys. Lett. 221, 482 (1994)ADSCrossRef
29.
Kast, D., Ankerhold, J.: Persistence of coherent quantum dynamics at strong dissipation. Phys. Rev. Lett. 110, 010402 (2013)ADSCrossRef
30.
Wang, H., Thoss, M.: Multilayer formulation of the multiconfiguration time-dependent Hartree theory. J. Chem. Phys. 119, 1289 (2003)ADSCrossRef
31.
White, S.R., Feiguin, A.E.: Real-time evolution using the density matrix renormalization group. Phys. Rev. Lett. 93, 076401 (2004)ADSCrossRef
32.
Wu, N., Duan, L., Li, X., Zhao, Y.: Dynamics of the sub-Ohmic spin-boson model: a time-dependent variational study. J. Chem. Phys. 138, 084111 (2013)ADSCrossRef
33.
Breuer, H.-P., Laine, E.-M., Piilo, J.: Measure for the degree of non-Markovian behavior of quantum processes in open systems. Phys. Rev. Lett. 103, 210401 (2009)ADSMathSciNetCrossRef
34.
Lu, X.-M., Wang, X., Sun, C.P.: Quantum Fisher information flow and non-Markovian processes of open systems. Phys. Rev. A 82, 042103 (2010)ADSCrossRef
35.
Luo, S., Fu, S., Song, H.: Quantifying non-Markovianity via correlations. Phys. Rev. A 86, 044101 (2012)ADSCrossRef
36.
Rajagopal, A.K., Devi, A.R.U., Rendell, R.W.: Kraus representation of quantum evolution and fidelity as manifestations of Markovian and non-Markovian forms. Phys. Rev. A 82, 042107 (2010)ADSCrossRef
37.
Bylicka, B., Chruscinski, D., Maniscalco, S.: Non-Markovianity and reservoir memory of quantum channels: a quantum information theory perspective. Sci. Rep. 4, 5720 (2014)ADSCrossRef
38.
Chruscinski, D., Maniscalco, S.: Degree of non-Markovianity of quantum evolution. Phys. Rev. Lett. 112, 120404 (2014)ADSCrossRef
39.
Liu, B.-H., Li, L., Huang, Y.-F., Li, C.-F., Guo, G.-C., Laine, E.-M., Breuer, H.-P., Piilo, J.: Experimental control of the transition from Markovian to non-Markovian dynamics of open quantum systems. Nat. Phys. 7, 931 (2011)CrossRef
40.
Huelga, S.F., Rivas, A., Plenio, M.B.: Non-Markovianity-assisted steady state entanglement. Phys. Rev. Lett. 108, 160402 (2012)ADSCrossRef
41.
Ma, J., Yadin, B., Girolami, D., Vedral, V., Gu, M.: Converting coherence to quantum correlations. Phys. Rev. Lett. 116, 160407 (2016)ADSCrossRef
42.
43.
Scully, M.O., Zubairy, M.S.: Quantum Optics. Cambridge University Press, Cambridge (1997)CrossRef
44.
Xiang, Z.-L., Ashhab, S., You, J.Q., Nori, F.: Hybrid quantum circuits: superconducting circuits interacting with other quantum systems. Rev. Mod. Phys. 85, 623 (2013)ADSCrossRef
45.
Koppens, F.H.L., Buizert, C., Tielrooij, K.J., Vink, I.T., Nowack, K.C., Meunier, T., Kouwenhoven, L.P., Vandersypen, L.M.K.: Driven coherent oscillations of a single electron spin in a quantum dot. Nature (London) 442, 766 (2006)ADSCrossRef
46.
Nowack, K.C., Koppens, F.H.L., Nazarov, Y.V., Vandersypen, L.M.K.: Coherent control of a single electron spin with electric fields. Science 318, 1430 (2007)ADSCrossRef
47.
Gan, C., Zheng, H.: Non-Markovian dynamics of a dissipative two-level system: nonzero bias and sub-Ohmic bath. Phys. Rev. E 80, 041106 (2009)ADSCrossRef
48.
Zhao, C., Lv, Z., Zheng, H.: Entanglement evolution and quantum phase transition of biased \(s=1/2\) spin-boson model. Phys. Rev. E 84, 011114 (2011)ADSCrossRef
49.
Nazir, A., McCutcheon, D.P.S., Chin, A.W.: Ground state and dynamics of the biased dissipative two-state system: beyond variational polaron theory. Phys. Rev. B 85, 224301 (2012)ADSCrossRef
50.
Wu, W.: Realization of hierarchical equations of motion from stochastic perspectives. Phys. Rev. A 98, 012110 (2018)ADSCrossRef
51.
Wu, M.-H., Lei, C.U., Zhang, W.-M., Xiong, H.-N.: Non-Markovian dynamics of a microcavity coupled to a waveguide in photonic crystals. Opt. Express 18, 18407 (2010)ADSCrossRef
52.
Zhu, L., Liu, H., Shi, Q.: A new method to account for the difference between classical and quantum baths in quantum dissipative dynamics. New J. Phys. 15, 095020 (2013)ADSCrossRef
53.
Thoss, M., Wang, H., Miller, W.H.: Self-consistent hybrid approach for complex systems: application to the spin-boson model with Debye spectral density. J. Chem. Phys. 115, 2991 (2001)ADSCrossRef
54.
Jing, J., Yu, T.: Non-Markovian relaxation of a three-level system: quantum trajectory approach. Phys. Rev. Lett. 105, 240403 (2010)ADSCrossRef
55.
Yoshihara, F., Fuse, T., Ashhab, S., Kakuyanagi, K., Saito, S., Semba, K.: Characteristic spectra of circuit quantum electrodynamics systems from the ultrastrong-to the deep-strong-coupling regime. Phys. Rev. A 95, 053824 (2017)ADSCrossRef
56.
Yoshihara, F., Fuse, T., Ashhab, S., Kakuyanagi, K., Saito, S., Semba, K.: Superconducting qubit–oscillator circuit beyond the ultrastrong-coupling regime. Nat. Phys. 13, 44 (2017)CrossRef
57.
Pineda, C., Gorin, T., Davalos, D., Wisniacki, D.A., Garcia-Mata, I.: Measuring and using non-Markovianity. Phys. Rev. A 93, 022117 (2016)ADSCrossRef
58.
Irish, E.K., Gea-Banacloche, J., Martin, I., Schwab, K.C.: Dynamics of a two-level system strongly coupled to a high-frequency quantum oscillator. Phys. Rev. B 72, 195410 (2005)ADSCrossRef
59.
Lee, C.K., Moix, J., Cao, J.: Accuracy of second order perturbation theory in the polaron and variational polaron frames. J. Chem. Phys. 136, 204120 (2012)ADSCrossRef
60.
Wu, W., Liu, M.: Effects of counter-rotating-wave terms on the non-Markovianity in quantum open systems. Phys. Rev. A 96, 032125 (2017)ADSCrossRef
61.
Makela, H., Mottonen, M.: Effects of the rotating-wave and secular approximations on non-Markovianity. Phys. Rev. A 88, 052111 (2013)ADSCrossRef
62.
Wibmann, S., Karlsson, A., Laine, E.M., Piilo, J., Breuer, H.P.: Optimal state pairs for non-Markovian quantum dynamics. Phys. Rev. A 86, 062108 (2012)ADSCrossRef
Metadata
Title
Coherent dynamics of a qubit–oscillator system in a noisy environment
Authors
Wei Wu
Jun-Qing Cheng
Publication date
01-11-2018
Publisher
Springer US
Published in
Quantum Information Processing / Issue 11/2018
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-018-2071-y

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