Thermodynamic universality of quantum Carnot engines

Gardas, Bartłomiej; Deffner, Sebastian

doi:10.1103/physreve.92.042126

Cited by 134 publications

(116 citation statements)

References 52 publications

(82 reference statements)

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“…We note that a similar "negative" conclusion has been drawn for the efficiency of quantum Carnot engines [69]. However, quantum enhancement of thermodynamic performance does exist for finite-time processes [13].…”

Section: A First Main Resultsmentioning

confidence: 81%

Quantum-trajectory thermodynamics with discrete feedback control

2016

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We employ the quantum jump trajectory approach to construct a systematic framework to study the thermodynamics at the trajectory level in a nonequilibrium open quantum system under discrete feedback control. Within this framework, we derive quantum versions of the generalized Jarzynski equalities, which are demonstrated in an isolated pseudospin system and a coherently driven twolevel open quantum system. Due to quantum coherence and measurement backaction, a fundamental distinction from the classical generalized Jarzynski equalities emerges in the quantum versions, which is characterized by a large negative information gain reflecting genuinely quantum rare events. A possible experimental scheme to test our findings in superconducting qubits is discussed.

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Section: A First Main Resultsmentioning

confidence: 81%

Quantum-trajectory thermodynamics with discrete feedback control

2016

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“…The quantum analogue of the Carnot engine consists of a working fluid, which can be a particle in a box [166], qubits [18,159], multiple level atoms [157] or harmonic oscillators [155,156]. We emphasize that for all such engines, the efficiency of the engine is strictly bounded by the Carnot efficiency [167]. For the engine consisting of non-interacting qubits considered in [159], the Carnot cycle consists of (1) Adiabatic Expansion: An expansion wherein the spin is uncoupled from any heat baths and its frequency is changed from ω 1 to ω 2 > ω 1 adiabatically.…”

Section: Carnot Enginementioning

confidence: 99%

Quantum thermodynamics

Vinjanampathy¹,

Anders²

2016

Contemporary Physics

869

806

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Quantum thermodynamics is an emerging research field aiming to extend standard thermodynamics and non-equilibrium statistical physics to ensembles of sizes well below the thermodynamic limit, in non-equilibrium situations, and with the full inclusion of quantum effects. Fueled by experimental advances and the potential of future nanoscale applications this research effort is pursued by scientists with different backgrounds, including statistical physics, many-body theory, mesoscopic physics and quantum information theory, who bring various tools and methods to the field. A multitude of theoretical questions are being addressed ranging from issues of thermalisation of quantum systems and various definitions of "work", to the efficiency and power of quantum engines. This overview provides a perspective on a selection of these current trends accessible to postgraduate students and researchers alike.

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“…In the last few years, several experiments have been performed to demonstrate the steering effect with the increasing measurement settings [8] and with loophole free arrangements [12]. For continuous variable systems, the steerability has also been quantified [13].Recently, quantum coherence has been established as an important notion, specially in the areas of quantum information theory, quantum biology [14][15][16][17][18] and quantum thermodynamics [19][20][21][22][23]. In quantum information theory, it is expected that it can be used as a resource [24][25][26].…”

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confidence: 99%

Nonlocal advantage of quantum coherence

2017

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A bipartite state is said to be steerable if and only if it does not have a single system description, i.e., the bipartite state cannot be explained by a local hidden state model. Several steering inequalities have been derived using different local uncertainty relations to verify the ability to control the state of one subsystem by the other party. Here, we derive complementarity relations between coherences measured on mutually unbiased bases using various coherence measures such as the l1-norm, relative entropy and skew information. Using these relations, we derive conditions under which non-local advantage of quantum coherence can be achieved and the state is steerable. We show that not all steerable states can achieve such advantage. Steering is a kind of non-local correlation introduced by Schrödinger [1] to reinterpret the EPR-paradox [2]. According to Schrödinger, the presence of entanglement between two subsystems in a bipartite state enables one to control the state of one subsystem by its entangled counter part. Wiseman et al. [3] formulated the operational and mathematical definition of quantum steering and showed that steering lies between quantum entanglement and Bell non-locality on the basis of their strength [4]. The notion of the steerability of quantum states is also intimately connected [5] to the idea of remote state preparation [6,7].As introduced in Ref.[3], let us consider a hypothetical game to explain the steerability of quantum states. Suppose, Alice prepares two quantum systems, say, A and B in an entangled state ρ AB and sends the system B to Bob. Bob does not trust Alice but agrees with the fact that the system B is quantum. Therefore, Alice's task is to convince Bob that the prepared state is indeed entangled and they share non-local correlation. On the other hand, Bob thinks that Alice may cheat by preparing the system B in a single quantum system, on the basis of possible strategies [8,9]. Bob agrees with Alice that the prepared state is entangled and they share non-local correlation if and only if the state of Bob cannot be written by local hidden state model (LHS) [3]where {P(λ), ρ Q B } is an ensemble of LHS prepared by Alice and P(a|A, λ) is Alice's stochastic map to convince Bob. Here, we consider λ to be a hidden variable with the constraint λ P(λ) = 1 and ρ Q B (λ) is a quantum state received by Bob. The joint probability distribution on such states, P (a Ai , b Bi ) of obtaining outcome a for the measurement of observables chosen from the set {A i } by Alice and outcome b for the measurement of observables chosen from the set {B i } by Bob can be written aswhere P Q (b i |λ) is the quantum probability of the measurement outcome b i due to the measurement of B i . Several steering conditions have been derived on the basis of Eq. (2) and the existence of single system description of a part of the bi-partite systems [8][9][10]. It has also been quantified for two-qubit systems [11]. In the last few years, several experiments have been performed to demonstrate the steering e...

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Thermodynamic universality of quantum Carnot engines

Cited by 134 publications

References 52 publications

Quantum-trajectory thermodynamics with discrete feedback control

Quantum-trajectory thermodynamics with discrete feedback control

Quantum thermodynamics

Nonlocal advantage of quantum coherence

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