Exactly solvable model of calorimetric measurements

Donvil, Brecht; Muratore-Ginanneschi, Paolo; Golubev, Dmitri S.

doi:10.1103/physrevb.102.245401

Cited by 10 publications

(7 citation statements)

References 48 publications

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“…17(b) and 17(c). It turns out that the measurement of heat transport in such a circuit addresses some fundamental questions of open quantum systems (Rivas et al, 2010;Levy and Kosloff, 2014;Purkayastha, Dhar, and Kulkarni, 2016a;Hofer et al, 2017;De Chiara et al, 2018;Donvil et al, 2018;Aurell and Montana, 2019;Magazzù and Grifoni, 2019;Donvil, Muratore-Ginanneschi, and Golubev, 2020;Hewgill, De Chiara, and Imparato, 2020). There are at least two possible ways of viewing the circuit, namely, the local view [Fig.…”

Section: Quantum Heat Transport Mediated By a Superconducting Qubitmentioning

confidence: 99%

Colloquium: Quantum heat transport in condensed matter systems

Pekola

Karimi

2021

Rev. Mod. Phys.

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Section: Quantum Heat Transport Mediated By a Superconducting Qubitmentioning

confidence: 99%

Colloquium: Quantum heat transport in condensed matter systems

Pekola

Karimi

2021

Rev. Mod. Phys.

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“…This is a situation encountered in models where the partial trace can be exactly evaluated see e.g. [68,69]. We recall the general mechanism in appendix A.…”

Section: Canonical Form Of the Time-local Master Equationmentioning

confidence: 99%

Unraveling-paired dynamical maps can recover the input of quantum channels

Donvil¹,

Muratore-Ginanneschi²

2022

Preprint

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We explore algebraic and dynamical consequences of unraveling general time-local master equations. We show that the "influence martingale", the paramount ingredient of a recently discovered unraveling framework, pairs any time-local master equation with a one parameter family of Lindblad-Gorini-Kossakowski-Sudarshan master equations. At any instant of time, the variance of the influence martingale provides an upper bound on the Hilbert-Schmidt distance between solutions of paired master equations. Finding the lowest upper bound on the variance of the influence martingale yields an explicit criterion of "optimal pairing". The criterion independently retrieves the measure of isotropic noise necessary for the structural physical approximation of the flow the time-local master equation with a completely positive flow. The optimal pairing also allows us to invoke a general result on linear maps on operators (the "commutant representation") to embed the flow of a general master equation in the off-diagonal corner of a completely positive map which in turn solves a time-local master equation that we explicitly determine. We use the embedding to reverse a completely positive evolution, a quantum channel, to its initial condition thereby providing a protocol to preserve quantum memory against decoherence. We thus arrive at a model of continuous time error correction by a quantum channel.

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“…It turns out that the measurement of heat transport in such a circuit addresses some fundamental questions of open quantum systems (Aurell and Montana, 2019;Chiara et al, 2018;Donvil et al, 2020Donvil et al, , 2018Hewgill et al, 2020;Hofer et al, 2017;Levy and Kosloff, 2014;Magazzù and Grifoni, 2019;Rivas et al, 2010). There are (at least) two possible ways of viewing the circuit, namely the local view (Fig.…”

Section: A Quantum Heat Valvementioning

confidence: 99%

Colloquium: Quantum heat transport in condensed matter systems

Pekola,

Karimi

2021

Preprint

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In this Colloquium recent advances in the field of quantum heat transport are reviewed. This topic has been investigated theoretically for several decades, but only during the past twenty years have experiments on various mesoscopic systems become feasible. A summary of the theoretical basis for describing heat transport in one-dimensional channels is first provided. Then the main experimental investigations of quantized heat conductance due to phonons, photons, electrons, and anyons in such channels are presented. These experiments are important for understanding the fundamental processes that underly the concept of a heat conductance quantum for a single channel. Then an illustration on how one can control the quantum heat transport by means of electric and magnetic fields, and how such tunable heat currents can be useful in devices is given. This lays the basis for realizing various thermal device components such as quantum heat valves, rectifiers, heat engines, refrigerators, and calorimeters. Also of interest are fluctuations of quantum heat currents, both for fundamental reasons and for optimizing the most sensitive thermal detectors; at the end of the review the status of research on this intriguing topic is given.

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Exactly solvable model of calorimetric measurements

Cited by 10 publications

References 48 publications

Colloquium: Quantum heat transport in condensed matter systems

Colloquium: Quantum heat transport in condensed matter systems

Unraveling-paired dynamical maps can recover the input of quantum channels

Colloquium: Quantum heat transport in condensed matter systems

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