Analysis of the conditional mutual information in ballistic and diffusive non-equilibrium steady-states

Malouf, William Tiago Batista; Goold, John; Adesso, Gerardo; Landi, Gabriel T.

doi:10.1088/1751-8121/ab93fd

Cited by 9 publications

(4 citation statements)

References 71 publications

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“…It has been shown that, in composite quantum systems, entropy production is related to the internal correlation between subsystems [20,23,25]. We show that the parametric amplification process not only modifies the internal correlation between the subsystems, but also produces an additional correlation between non-commuting observables (q and p) of the parametrically driven oscillator.…”

Section: Introductionmentioning

confidence: 81%

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Irreversible Entropy Production rate in a parametrically driven-dissipative System: The Role of Self-Correlation between Noncommuting Observables

Shahidani,

Rafiee

2022

Preprint

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In this paper, we explore the emergence of the Wigner entropy production rate in the stationary state of a two-mode Gaussian system. The interacting modes dissipate into different local thermal baths. Also, one of the bosonic modes evolves into the squeezed-thermal state because of the parametric amplification process.Using the Heisenberg-Langevin approach, combined with quantum phase space formulation, we get an analytical expression for the steady-state Wigner entropy production rate. It contains two key terms. The first one is an Onsager-like expression that describes heat flow within the system. The second term resulted from vacuum fluctuations of the baths. Analyses show that self-correlation between the quadratures of the parametrically amplified mode pushes the mode towards the thermal squeezed state. It increases vacuum entropy production of the total system and reduces the heat current between the modes. The results imply that, unlike other previous proposals, squeezing can constrain the efficiency of actual non-equilibrium heat engines by irreversible flows.

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Section: Introductionmentioning

confidence: 81%

“…More recently, considerable attention has been directed towards the theoretical and experimental characterization of entropy production in non-equilibrium bosonic systems based on the quantum phase space distributions and Fokker-Planck equations [18][19][20][21][22][23][24][25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Irreversible Entropy Production rate in a parametrically driven-dissipative System: The Role of Self-Correlation between Noncommuting Observables

Shahidani,

Rafiee

2022

Preprint

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“…To calculate the dynamics of the covariance matrix and the vector of means of a linear system, the standard approach consists of taking into account that Ȯ = Tr[ Ô Lρ(t)] for the particular Liouvillian L of the model under study, and consider both Ô = xj and Ô = xj xk to find a closed system of equations for x and V (see, e.g., Refs. [42,43]). Such an approach is often cumbersome and time-consuming, and completely lacks generality.…”

Section: Linear Dynamics Of Bosonic Systemsmentioning

confidence: 99%

Generalized Lindblad master equations in quantum reservoir engineering

Bernal-García¹,

Huang²,

Miroshnichenko³

et al. 2021

Preprint

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Reservoir engineering has proven to be a practical approach to control open quantum systems, preserving quantum coherence by appropriately manipulating the reservoir and system-reservoir interactions. In this context, for systems comprised of different parts, it is common to describe the dynamics of a subsystem of interest by making an adiabatic elimination of the remaining components of the system. This procedure often leads to an effective master equation for the subsystem that is not in the well-known Gorini-Kossakowski-Lindblad-Sudarshan form (here called standard Lindblad form). Instead, it has a more general structure (here called generalized Lindblad form), which explicitly reveals the dissipative coupling between the various components of the subsystem. In this work, we present a set of dynamical equations for the first and second moments of the canonical variables for linear systems, bosonic and fermionic, described by master equations in a generalized Lindblad form. Our method is efficient and allows one to obtain analytical solutions for the steady state. Further, we include as a review some covariance matrix methods for which our results are particularly relevant, paying special attention to those related to the measurement of entanglement. Finally, we prove that the Duan criterion for entanglement is also applicable to fermionic systems.

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“…The time evolution of C can be obtained directly from Eq. ( 5) (see [16,49,54] for details), and reads…”

Section: B Steady-state Equation For the Covariance Matrixmentioning

confidence: 99%

Dephasing enhanced transport in boundary-driven quasiperiodic chains

Lacerda,

Goold,

Landi

2021

Preprint

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We study dephasing-enhanced transport in boundary-driven quasi-periodic systems. Specifically we consider dephasing modelled by current preserving Lindblad dissipators acting on the non-interacting Aubry-André-Harper (AAH) and Fibonacci bulk systems. The former is known to undergo a critical localization transition with a suppression of ballistic transport above a critical value of the potential. At the critical point, the presence of non-ergodic extended states yields anomalous sub-diffusion. The Fibonacci model, on the other hand, yields anomalous transport with a continuously varying exponent depending on the potential strength. By computing the covariance matrix in the non-equilibrium steady-state, we show that sufficiently strong dephasing always renders the transport diffusive. The interplay between dephasing and quasi-periodicity gives rise to a maximum of the diffusion coefficient for finite dephasing, which suggests the combination of quasi-periodic geometries and dephasing can be used to control noise-enhanced transport.

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Analysis of the conditional mutual information in ballistic and diffusive non-equilibrium steady-states

Cited by 9 publications

References 71 publications

Irreversible Entropy Production rate in a parametrically driven-dissipative System: The Role of Self-Correlation between Noncommuting Observables

Irreversible Entropy Production rate in a parametrically driven-dissipative System: The Role of Self-Correlation between Noncommuting Observables

Generalized Lindblad master equations in quantum reservoir engineering

Dephasing enhanced transport in boundary-driven quasiperiodic chains

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