Non-Markovian Quantum Dynamics in a Squeezed Reservoir

Link, Valentin; Strunz, Walter T.; Luoma, Kimmo

doi:10.3390/e24030352

Cited by 11 publications

(3 citation statements)

References 33 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The central task now is to determine the functional derivatives, which is equivalent to the derivation of the quantum master equation, and analytical results are only available for a few cases [25,29]. For general systems the function derivatives can be approximated by perturbative expansion [48]. To go beyond the perturbative regime the hierarchical approach is applicable when the correlation function can be well approximated with few exponentials [34].…”

Section: Quantum Dissipative Systemsmentioning

confidence: 99%

Piecewise ensemble averaging stochastic Liouville equations for simulating non-Markovian quantum dynamics

Yan

Zheng²,

Shao³

2022

New J. Phys.

View full text Add to dashboard Cite

Here we present a novel stochastic Liouville equation with piecewisely correlated noises, in which the inter-piece correlation is rigorously incorporated by a convolution integral involving functional derivatives. Due to the feature of piecewise correlation, we can perform piecewise ensemble average and serve the average of the preceding interval as the initial condition of the subsequent propagation. This strategy avoids the long-time stochastic average and the statistical errors are saturated at long times. By doing so, we circumvent the intrinsic difficulty of the stochastic simulations caused by the fast increase in the variance of the quantum Brownian motion. Therefore, as demonstrated by the numerical examples, the proposed method enables us to simulate the long-time quantum dissipative dynamics with long memories in the non-perturbative regime.

show abstract

Section: Quantum Dissipative Systemsmentioning

confidence: 99%

Piecewise ensemble averaging stochastic Liouville equations for simulating non-Markovian quantum dynamics

Yan

Zheng²,

Shao³

2022

New J. Phys.

View full text Add to dashboard Cite

show abstract

“…We focus on the time evolution of the energy current and coherence of the system in an open system. We use NMQSD approach to investigate the non-Markovian dynamics of the system [ 29 , 30 , 31 , 32 ]. It determines the quantum dynamics of open systems by solving the non-Markovian diffusive stochastic Schrödinger equation [ 33 , 34 ].…”

Section: Introductionmentioning

confidence: 99%

Quantum Energy Current Induced Coherence in a Spin Chain under Non-Markovian Environments

Ablimit

Xie

et al. 2022

Entropy

View full text Add to dashboard Cite

We investigate the time-dependent behaviour of the energy current between a quantum spin chain and its surrounding non-Markovian and finite temperature baths, together with its relationship to the coherence dynamics of the system. To be specific, both the system and the baths are assumed to be initially in thermal equilibrium at temperature Ts and Tb, respectively. This model plays a fundamental role in study of quantum system evolution towards thermal equilibrium in an open system. The non-Markovian quantum state diffusion (NMQSD) equation approach is used to calculate the dynamics of the spin chain. The effects of non-Markovianity, temperature difference and system-bath interaction strength on the energy current and the corresponding coherence in cold and warm baths are analyzed, respectively. We show that the strong non-Markovianity, weak system-bath interaction and low temperature difference will help to maintain the system coherence and correspond to a weaker energy current. Interestingly, the warm baths destroy the coherence while the cold baths help to build coherence. Furthermore, the effects of the Dzyaloshinskii–Moriya (DM) interaction and the external magnetic field on the energy current and coherence are analyzed. Both energy current and coherence will change due to the increase of the system energy induced by the DM interaction and magnetic field. Significantly, the minimal coherence corresponds to the critical magnetic field which causes the first order phase transition.

show abstract

“…We focus on the behavior in time of the energy current and coherence of the system in an open system. We use NMQSD approach to investigate the non-Markovian dynamical evolution of the system [26][27][28][29]. It determines the quantum dynamics of open systems by solving the diffusive stochastic Schrödinger equation or the non-Markovian master equation [30,31].…”

Section: Introductionmentioning

confidence: 99%

Quantum energy current and quantum coherence of a spin chain in a non-Markovian environment

Ablimit,

He,

Xie

et al. 2022

Preprint

View full text Add to dashboard Cite

We investigate the behavior in time of the energy current between a quantum spin chain and its surrounding non-Markovian, finite temperature baths, together with its relationship to the coherence dynamics of the system. To be specific, both the system and the baths are assumed to be initially in thermal equilibrium at temperature Ts and T b , respectively. This model plays a fundamental role for the study of quantum system evolution towards thermal equilibrium in an open system. The non-Markovian quantum state diffusion (NMQSD) equation approach is used to calculate the dynamics of the spin chain. The effects of bath non-Markovinity, temperature difference and system-bath interaction strength on the energy current and the coherence in warm and cold baths are analyzed, respectively. For both cases, our calculation results show that strong non-Markovianity, weak system-bath interaction and low temperature difference will be helpful to maintain the coherence of the system and correspond to a small energy current. Interestingly, the warm baths destroy the coherence while the cold baths help to generate coherence. Furthermore, the effects of the Dzyaloshinskii-Moriya (DM ) interaction and the external magnetic field on the energy current and coherence are analyzed. Both energy current and coherence will change due to the improvement of the system energy induced by the DM interaction and magnetic field. Significantly, the lowest coherence corresponds to the critical magnetic field which causes the first order phase transition.

show abstract

Non-Markovian Quantum Dynamics in a Squeezed Reservoir

Cited by 11 publications

References 33 publications

Piecewise ensemble averaging stochastic Liouville equations for simulating non-Markovian quantum dynamics

Piecewise ensemble averaging stochastic Liouville equations for simulating non-Markovian quantum dynamics

Quantum Energy Current Induced Coherence in a Spin Chain under Non-Markovian Environments

Quantum energy current and quantum coherence of a spin chain in a non-Markovian environment

Contact Info

Product

Resources

About