Temperature effects on quantum non-Markovianity via collision models

Man, Zhong‐Xiao; Xia, Yun‐Jie; Franco, Rosario Lo

doi:10.1103/physreva.97.062104

Cited by 56 publications

(40 citation statements)

References 71 publications

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“…Before describing our main results, we first introduce previous results (for non-Markovianity based on coherence measure that were proposed and tested very recently [44][45][46][47][48][49][50][51][52][53][54] ). The previous results can be summarized as two main approaches, and both are applicable to detecting and quantifying the non-Markovianity of incoherent open system dynamics (IOSD).…”

Section: Previous Resultsmentioning

confidence: 99%

“…Rigorous studies on the dynamical behavior of quantified coherence in non-Markovian dynamics have recently attracted considerable attention [44][45][46][47][48][49][50][51][52][53][54] . Moreover, information quantifiers based on coherence and the extended coherence with an ancilla have been proposed, for measuring the degree of non-Markovianity.…”

Section: Introductionmentioning

confidence: 99%

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Detecting non-Markovianity via quantified coherence: theory and experiments

Hou

Xiang

et al. 2020

npj Quantum Inf

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The dynamics of open quantum systems and manipulation of quantum resources are both of fundamental interest in quantum physics. Here, we investigate the relation between quantum Markovianity and coherence, providing an effective way for detecting non-Markovianity based on the quantum-incoherent relative entropy of coherence (QI REC). We theoretically show the relation between completely positive (CP) divisibility and the monotonic behavior of the QI REC. Also we implement an all-optical experiment to demonstrate that the behavior of the QI REC is coincident with the entanglement shared between the system and the ancilla for both Markovian and non-Markovian evolution; while other coherence-based non-Markovian information carriers violate monotonicity, even in Markovian processes. Moreover, both theoretically and experimentally, we show that non-Markovianity enhances the ability of creating coherence on an ancilla. This is the first experimental study of the relation between dynamical behavior of the QI REC and the phenomenon of information backflow. Our methods for detecting non-Markovianity are applicable to general quantum evolutions.

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Section: Previous Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Detecting non-Markovianity via quantified coherence: theory and experiments

Hou

Xiang

et al. 2020

npj Quantum Inf

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“…In its simplest memoryless version, a CM assumes that the reservoir consists of a large number of initially uncorrelated subunits or "ancillas" with which the open system collides one at a time [20][21][22][23]. Suitable modifications endow this basic CM with memory, making it an advantageous tool to tackle quantum non-Markovian dynamics [24][25][26][27][28][29][30][31][32][33][34][35][36][37]. In addition, CMs have found application in quantum optics [38][39][40][41], quantum gravity [42,43], quantum control [44][45][46][47] and quantum thermodynamics [48][49][50][51][52][53][54][55][56][57][58][59][60].…”

Section: Introductionmentioning

confidence: 99%

System-environment correlations and Markovian embedding of quantum non-Markovian dynamics

Campbell¹,

Ciccarello²,

Palma³

et al. 2018

Phys. Rev. A

117

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We study the dynamics of a quantum system whose interaction with an environment is described by a collision model, i.e. the open dynamics is modelled through sequences of unitary interactions between the system and the individual constituents of the environment, termed "ancillas", which are subsequently traced out. In this setting non-Markovianity is introduced by allowing for additional unitary interactions between the ancillas. For this model, we identify the relevant system-environment correlations that lead to a non-Markovian evolution. Through an equivalent picture of the open dynamics, we introduce the notion of "memory depth" where these correlations are established between the system and a suitably sized memory rendering the overall system+memory evolution Markovian. We extend our analysis to show that while most system-environment correlations are irrelevant for the dynamical characterization of the process, they generally play an important role in the thermodynamic description. Finally, we show that under an energy-preserving system-environment interaction, a non-monotonic time behaviour of the heat flux serves as an indicator of non-Markovian behaviour.

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“…In a similar way, in Reference [ 5 ] a local master equations with a Lindblad form for two coupled harmonic oscillator was derived by using the method of repeated interactions. Moreover, also from the viewpoint of the system, the corresponding reduced dynamics can be obtained in many cases without any approximations [ 59 , 60 , 61 , 62 , 63 , 64 , 65 ]. This is because collision model allows for the possibility to decompose a complicated open dynamics in terms of discrete elementary processes.…”

Section: Introductionmentioning

confidence: 99%

Effect of Inter-System Coupling on Heat Transport in a Microscopic Collision Model

Tian

Zou

et al. 2021

Entropy

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In this paper we consider a bipartite system composed of two subsystems each coupled to its own thermal environment. Based on a collision model, we mainly study whether the approximation (i.e., the inter-system coupling is ignored when modeling the system–environment interaction) is valid or not. We also address the problem of heat transport unitedly for both excitation-conserving system–environment interactions and non-excitation-conserving system–environment interactions. For the former interaction, as the inter-system interaction strength increases, at first this approximation gets worse as expected, but then counter-intuitively gets better even for a stronger inter-system coupling. For the latter interaction with asymmetry, this approximation gets progressively worse. In this case we realize a perfect thermal rectification, and we cannot find an apparent rectification effect for the former interaction. Finally and more importantly, our results show that whether this approximation is valid or not is closely related to the quantum correlations between the subsystems, i.e., the weaker the quantum correlations, the more justified the approximation and vice versa.

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Temperature effects on quantum non-Markovianity via collision models

Cited by 56 publications

References 71 publications

Detecting non-Markovianity via quantified coherence: theory and experiments

Detecting non-Markovianity via quantified coherence: theory and experiments

System-environment correlations and Markovian embedding of quantum non-Markovian dynamics

Effect of Inter-System Coupling on Heat Transport in a Microscopic Collision Model

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