From nonequilibrium Green's functions to quantum master equations for the density matrix and out-of-time-order correlators: Steady-state and adiabatic dynamics

Bhandari, Bibek; Fazio, Rosario; Taddei, F.; Arrachea, Liliana

doi:10.1103/physrevb.104.035425

Cited by 16 publications

(12 citation statements)

References 77 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It represents the power developed by the conservative ac forces, and it, thus, leads to a vanishing value when averaged over the cycle. In the same formalism used to derive the reduced density matrix, the heat current entering the reservoir α, calculated at the second order of perturbation theory in the coupling to the reservoirs and within the adiabatic regime, reads [65,85],…”

Section: Discussionmentioning

confidence: 99%

“…We solve the problem in the limit of weak coupling between the WS and the reservoirs by deriving the adiabatic master equation by means of the non-equilibrium Green's function formalism at second order of perturbation theory in V α as explained in Ref. [65]. Details are shown in Appendices A and B.…”

Section: Full Optimization and The Isoperimetric Problem In A Qubit T...mentioning

confidence: 99%

“…( 4) and ( 5) in the weak-coupling limit between the q-bit and the reservoir, following Ref. [65]. We rely on the adiabatic quantum-master equation approach under small temperature bias ∆T to evaluate the coefficients Λ µ,ν , which enable the calculation of the net transferred heat and work defined in Eqs.…”

Section: Appendix A: Calculation Of the Linear-response Coefficientsmentioning

confidence: 99%

See 2 more Smart Citations

Geometric optimization of non-equilibrium adiabatic thermal machines and implementation in a qubit system

Alonso,

Abiuso,

Perarnau-Llobet

et al. 2021

Preprint

Self Cite

View full text Add to dashboard Cite

We adopt a geometric approach to describe the performance of adiabatic quantum machines, operating under slow time-dependent driving and in contact to two reservoirs with a temperature bias during all the cycle. We show that the problem of optimizing the power generation of a heat engine and the efficiency of both the heat engine and refrigerator operational modes is reduced to an isoperimetric problem with non-trivial underlying metrics and curvature. This corresponds to the maximization of the ratio between the area enclosed by a closed curve and its corresponding length. We illustrate this procedure in a qubit coupled to two reservoirs operating as a thermal machine by means of an adiabatic protocol. * These two authors contributed equally.Recently, it was proposed that the dissipation and the heatwork conversion mechanisms are respectively described by different components of the thermal geometric tensor. Furthermore, the heat-work conversion component can be expressed in terms of a Berry-type phase [15], which has an associated Berry-type curvature [27], and similar ideas were followed in [28,29]. Hence, a length and an area in the parameter space can be defined. On the other hand, it is well known that dissipation and entropy production admit a geometric description in terms of the concept of thermodynamic length [30][31][32][33][34][35][36][37][38]. This geometric approach has proven useful to optimize finite-time thermodynamic processes (examples can be found in [9,[39][40][41] for classical and [12, 42, 43] for quantum systems), including the finite-time Carnot cycle [11,12] and slowly driven engines [44][45][46][47][48].

show abstract

Section: Discussionmentioning

confidence: 99%

Section: Full Optimization and The Isoperimetric Problem In A Qubit T...mentioning

confidence: 99%

Section: Appendix A: Calculation Of the Linear-response Coefficientsmentioning

confidence: 99%

See 1 more Smart Citation

Geometric optimization of non-equilibrium adiabatic thermal machines and implementation in a qubit system

Alonso,

Abiuso,

Perarnau-Llobet

et al. 2021

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…An absolutely closed or isolated system does not exist in reality, and imperfect experimental conditions and measurements always induce noisy environments. As a consequence, studies on information scrambling in noisy systems have received much attention in recent years [33][34][35][36][37][38][39], and investigations on the dynamics of information in dissipative systems are still desired.…”

Section: Introductionmentioning

confidence: 99%

Dissipation-Induced Information Scrambling in a Collision Model

Jin

2022

Entropy

View full text Add to dashboard Cite

In this paper, we present a collision model to stroboscopically simulate the dynamics of information in dissipative systems. In particular, an all-optical scheme is proposed to investigate the information scrambling of bosonic systems with Gaussian environmental states. Varying the states of environments, in the presence of dissipation, transient tripartite mutual information of system modes may show negative value, signaling the appearance of information scrambling. We also find that dynamical indivisibility based non-Markovianity plays dual roles in affecting the dynamics of information.

show abstract

“…On the other hand, the use of master equations in similar systems and under the presence of adiabatic timedependent drivings was addressed in Refs. [29,30]. At low temperatures and for a small interaction U , U Γ, Ref.…”

Section: Introductionmentioning

confidence: 99%

Charge and energy transfer in ac-driven Coulomb-coupled double quantum dots

Ludovico

Capone

2022

Eur. Phys. J. B

View full text Add to dashboard Cite

We study the dynamics of charge and energy currents in a Coulomb-coupled double quantum dot system, when only one of the two dots is adiabatically driven by a time-periodic gate that modulates its energy level. Although the Coulomb coupling does not allow for electron transfer between the dots, it enables an exchange of energy between them which induces a time variation of charge in the undriven dot. We describe the effect of electron interactions at low temperature using a time-dependent slave-spin 1 formulation within mean field that efficiently captures the main effects of the strong correlations as well as the dynamical nature of the driving. We find that the currents induced in the undriven dot due to the mutual friction between inter-dot electrons are of the same order as those generated in the adiabatically driven dot. Interestingly, up to 43% of the energy injected by the ac sources can be transferred from the driven dot to the undriven one. We complete our analysis by studying the impact of the Coulomb interaction on the resistance of the quantum dot that is driven by the gate. Graphic abstract

show abstract

From nonequilibrium Green's functions to quantum master equations for the density matrix and out-of-time-order correlators: Steady-state and adiabatic dynamics

Cited by 16 publications

References 77 publications

Geometric optimization of non-equilibrium adiabatic thermal machines and implementation in a qubit system

Geometric optimization of non-equilibrium adiabatic thermal machines and implementation in a qubit system

Dissipation-Induced Information Scrambling in a Collision Model

Charge and energy transfer in ac-driven Coulomb-coupled double quantum dots

Contact Info

Product

Resources

About