Quantum Thermodynamics with Multiple Conserved Quantities

Mingo, Erick Hinds; Guryanova, Yelena; Faist, Philippe; Jennings, David

doi:10.1007/978-3-319-99046-0_31

Cited by 6 publications

(4 citation statements)

References 52 publications

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“…Throughout we adapt a resource-theoretic approach to quantum thermodynamics called thermal operations [27,27,[29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45]. This is a wellestablished framework for studying thermodynamic processes in the quantum regime which gives the experimenter the most freedom in manipulating systems without access to external resources like coherence or asymmetry [25,[46][47][48][49], entanglement [50][51][52] or conserved quantities [53][54][55]. It is thus a convenient class of operations for deriving fundamental thermodynamic limitations.…”

Section: Frameworkmentioning

confidence: 99%

Second law of thermodynamics for batteries with vacuum state

Lipka-Bartosik

Mazurek

Horodecki

2021

Quantum

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In stochastic thermodynamics work is a random variable whose average is bounded by the change in the free energy of the system. In most treatments, however, the work reservoir that absorbs this change is either tacitly assumed or modelled using unphysical systems with unbounded Hamiltonians (i.e. the ideal weight). In this work we describe the consequences of introducing the ground state of the battery and hence — of breaking its translational symmetry. The most striking consequence of this shift is the fact that the Jarzynski identity is replaced by a family of inequalities. Using these inequalities we obtain corrections to the second law of thermodynamics which vanish exponentially with the distance of the initial state of the battery to the bottom of its spectrum. Finally, we study an exemplary thermal operation which realizes the approximate Landauer erasure and demonstrate the consequences which arise when the ground state of the battery is explicitly introduced. In particular, we show that occupation of the vacuum state of any physical battery sets a lower bound on fluctuations of work, while batteries without vacuum state allow for fluctuation-free erasure.

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Section: Frameworkmentioning

confidence: 99%

Second law of thermodynamics for batteries with vacuum state

Lipka-Bartosik

Mazurek

Horodecki

2021

Quantum

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“…Throughout the paper we will adapt a resourcetheoretic approach to quantum thermodynamics called thermal operations [14,[19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35]. This is a well established framework for studying thermodynamic processes in the quantum regime, involving systems in contact with infinite heat baths and represents the most that an experimenter can do when manipulating a system without access to external resources like coherence [15,[36][37][38][39], entanglement [40][41][42] or conserved quantities [43][44][45]. The setting consists of a system S with Hamiltonian H S that we would like to apply our transformations on, an infinite heat bath B with Hamiltonian H B , initially in a Gibbs state τ B = e −βH B /Z B , where Z B = tr e −βH B , and a battery system W with Hamiltonian H W .…”

Section: Frameworkmentioning

confidence: 99%

Second law of thermodynamics for batteries with vacuum state

Lipka-Bartosik,

Mazurek,

Horodecki

2019

Preprint

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We study the implications of introducing vacuum state of the battery for arbitrary thermodynamic processes. Using the framework of thermal operations we derive a form of the second law which holds for batteries with bounded energy spectrum. In this form the second law gains corrections which vanish when battery is initialized far from the bottom of its spectrum. Furthermore, by studying a paradigmatic example of Landauer erasure we show that the existence of battery ground state leads to a thermodynamic behaviour which cannot be realized using an ideal weight. Surprisingly, this remains true even when battery operates far from its bottom. Our results are formulated in the language of quantum mechanics, but they can be similarily applied to classical (stochastic) systems as well.

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“…The large popularity of thermodynamic resource theories (e.g. [25,27,28,[38][39][40][41][42][43][44][45][46][47][48][49][50][51] or reviews [52][53][54]) in addition to these observations, make the need to study the costs of control in the resource theoretic quantum thermodynamics even more pressing.…”

Section: Introductionmentioning

confidence: 99%