Quantum thermodynamic cycle with quantum phase transition

Ma, Yuhan; Su, Shanhe; Sun, C. P.

doi:10.1103/physreve.96.022143

Cited by 71 publications

(57 citation statements)

References 33 publications

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“…We then use these insights to design many-body heat engines that can operate at Carnot efficiency with finite power per constituent of the WS through a supraextensive scaling of C/τ eq (e.g. in a phase transition), in the spirit of [33,34] (see also [34][35][36][37]). We show that the optimal finite-time Carnot cycle leads to milder conditions for the critical exponents of the WS needed to reach Carnot efficiency when compared to [34].…”

Section: Introductionmentioning

confidence: 99%

Optimal Cycles for Low-Dissipation Heat Engines

2020

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We consider the optimization of a finite-time Carnot engine characterized by small dissipations. We show with a simple inequality that the optimal strategy is to perform infinitesimal cycles around a given working point, which can be thus chosen optimally. Remarkably, this optimal point is independent of the figure of merit combining power and efficiency that is being maximised. Furthermore, in the corresponding cycle the power output becomes proportional to the heat capacity of the working substance. Since the heat capacity can scale supra-extensively with the number of constituents of the engine (e.g. in a phase transition point), this enables us to design many-body heat engines reaching Carnot efficiency at finite power per constituent in the thermodynamic limit.

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Section: Introductionmentioning

confidence: 99%

Optimal Cycles for Low-Dissipation Heat Engines

2020

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“…This might explain the plethora of studies to investigate possible enhancements of engine performance through the exploitation of quantum resources including coherence [8][9][10][11][12][13][14][15], measurement effects [16], squeezed reservoirs [17][18][19], quantum phase transitions [20], and quantum many-body effects [15,[21][22][23]. Other works have examined the fundamental differences between quantum and classical thermal machines [24][25][26], finite time cycles [13,27,28], utilizing shortcuts to adiabaticity [12,22,23,[29][30][31][32][33], operating over non-thermal states [34,35], non-Markovian effects [36], magnetic systems [37][38][39][40][41][42], anharmonic potentials [43], optomechanical implementation [44], quantum dot implementation [38,40,42], implementation in 2D materials…”

Section: Introductionmentioning

confidence: 99%

Bosons outperform fermions: The thermodynamic advantage of symmetry

Myers

Deffner

2020

Phys. Rev. E

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We examine a quantum Otto engine with a harmonic working medium consisting of two particles to explore the use of wave function symmetry as an accessible resource. It is shown that the bosonic system displays enhanced performance when compared to two independent single particle engines, while the fermionic system displays reduced performance. To this end, we explore the trade-off between efficiency and power output and the parameter regimes under which the system functions as engine, refrigerator, or heater. Remarkably, the bosonic system operates under a wider parameter space both when operating as an engine and as a refrigerator.

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“…One important topic is to find quantum heat engines as counterparts of the classical ones. To design a practical heat engine with non-zero output power, the finite-time quantum thermodynamics [18][19][20][21][22][23] needs to be studied instead of quasi-static thermodynamics [15][16][17]24]. Therefore understanding the finite-time effect of thermodynamic processes is crucial to the optimization of the finite-time heat engine [22,[25][26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%

Boosting the performance of quantum Otto heat engines

2019

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To optimize the performance of a heat engine in finite-time cycle, it is important to understand the finite-time effect of thermodynamic processes. Previously, we have shown that extra work is needed to complete a quantum adiabatic process in finite time, and proved that the extra work follows a C/τ 2 scaling for long control time τ . There the oscillating part of the extra work is neglected due to the complex energy-level structure of the particular quantum system. However, such oscillation of the extra work can not be neglected in some quantum systems with simple energy-level structure, e. g. the two-level system or the quantum harmonic oscillator. In this paper, we build the finite-time quantum Otto engine on these simple systems, and find that the oscillating extra work leads to a jagged edge in the constraint relation between the output power and the efficiency. By optimizing the control time of the quantum adiabatic processes, the oscillation in the extra work is utilized to enhance the maximum power and the efficiency. We further design special control schemes with the zero extra work at the specific control time. Compared to the linear control scheme, these special control schemes of the finite-time adiabatic process improve the maximum power and the efficiency of the finite-time Otto engine.

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Quantum thermodynamic cycle with quantum phase transition

Cited by 71 publications

References 33 publications

Optimal Cycles for Low-Dissipation Heat Engines

Optimal Cycles for Low-Dissipation Heat Engines

Bosons outperform fermions: The thermodynamic advantage of symmetry

Boosting the performance of quantum Otto heat engines

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