Toward Physical Realizations of Thermodynamic Resource Theories

Halpern, Nicole Yunger

doi:10.1007/978-3-319-43760-6_8

Cited by 5 publications

(3 citation statements)

References 69 publications

(146 reference statements)

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“…Much of this research [5][6][7][8][9][10][11] utilised the resource theory framework and in particular the concept of thermal operations [12,13]. However, despite significant theoretical progress, the results have been seen as rather abstract and una-mendable to experimental implementation [14].…”

Section: Introductionmentioning

confidence: 99%

Coherent fluctuation relations: from the abstract to the concrete

Holmes

Weidt

Jennings

et al. 2019

Quantum

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Recent studies using the quantum information theoretic approach to thermodynamics show that the presence of coherence in quantum systems generates corrections to classical fluctuation theorems. To explicate the physical origins and implications of such corrections, we here convert an abstract framework of an autonomous quantum Crooks relation into quantum Crooks equalities for wellknown coherent, squeezed and cat states. We further provide a proposal for a concrete experimental scenario to test these equalities. Our scheme consists of the autonomous evolution of a trapped ion and uses a position dependent AC Stark shift.Accepted in Quantum 2018-02-12, click title to verify arXiv:1806.11256v4 [quant-ph] 19 Feb 2019 1 We use the term 'coherence' in the sense of a 'superposition of states belonging to different energy eigenspaces'. Such energetic coherences are formally quantified in the thermal operations framework [12,13] and by measures such as the l1 norm of coherence [39], C l 1 (ρ) := j =k | Ej| ρ |E k |, the sum of the absolute value of the off diagonal elements of a state in the energy eigenbasis.Accepted in Quantum 2018-02-12, click title to verify

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Section: Introductionmentioning

confidence: 99%

Coherent fluctuation relations: from the abstract to the concrete

Holmes

Weidt

Jennings

et al. 2019

Quantum

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“…requiring the extreme lowering/raising of system-bath composite energy level, or arbitrary energy preserving unitaries in the system subspace. Therefore, the full employment of resource theoretic models in real world remains challenging [37].…”

Section: Introductionmentioning

confidence: 99%

Catalysis in action via elementary thermal operations

Son,

2024

New J. Phys.

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We investigate catalysis in the framework of elementary thermal operations, leveraging the distinct features of such operations to illuminate catalytic dynamics. As groundwork, we establish new technical tools that enhance the computability of state transition rules for elementary thermal operations. Specifically, we provide a complete characterisation of state transitions for a qutrit system and special classes of initial states of arbitrary dimension. By employing these tools in conjunction with numerical methods, we find that by adopting a small catalyst, including just a qubit catalyst, one can significantly enlarge the set of state transitions for a qutrit system. This advancement notably narrows the gap of reachable states between elementary thermal operations and generic thermal operations. Furthermore, we decompose catalytic transitions into time-resolved evolution, which critically enables the tracking of nonequilibrium free energy exchanges between the system and bath. Our results provide evidence for the existence of simple and practicable catalytic advantage in thermodynamics while offering insight into analysing the mechanism of catalytic processes.

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“…Even though the above discussion implies that work should be defined with an experimental setup in mind, fundamental limits can be obtained. The question of how much work can be extracted from a quantum state has received a lot of attention recently [35,37,42,[44][45][46][47][48][49][50][51][52][53][54][55][56][57] and lies at the heart of the resource theory of quantum thermodynamics [5,35,37,49,51,56,[58][59][60][61][62][63][64]. As these works consider very abstract and general settings (hence assuming essentially full control over the system) it is not clear that the fundamental bounds are relevant in an experimental setting.…”

Section: Introductionmentioning

confidence: 99%

Optimal work extraction from quantum states by photo-assisted Cooper pair tunneling

Lörch

Bruder

Brunner

et al. 2018

Quantum Sci. Technol.

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The theory of quantum thermodynamics predicts fundamental bounds on work extraction from quantum states. As these bounds are derived in a very general and abstract setting, it is unclear how relevant they are in an experimental context, where control is typically limited. Here we address this question by showing that optimal work extraction is possible for a realistic engine. The latter consists of a superconducting circuit, where a LC-resonator is coupled to a Josephson junction. The oscillator state fuels the engine, providing energy absorbed by Cooper pairs, thus producing work in the form of an electrical current against an external voltage bias. We show that this machine can extract the maximal amount of work from all Gaussian and Fock states. Furthermore, we consider work extraction from a continuously stabilized oscillator state. In both scenarios, coherence between energy eigenstates is beneficial, increasing the power output of the machine. This is possible because the phase difference across the Josephson junction provides a phase reference.

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Toward Physical Realizations of Thermodynamic Resource Theories

Cited by 5 publications

References 69 publications

Coherent fluctuation relations: from the abstract to the concrete

Coherent fluctuation relations: from the abstract to the concrete

Catalysis in action via elementary thermal operations

Optimal work extraction from quantum states by photo-assisted Cooper pair tunneling

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