Performance of shortcut-to-adiabaticity quantum engines

Abah, Obinna; Lutz, Eric

doi:10.1103/physreve.98.032121

Cited by 103 publications

(153 citation statements)

References 63 publications

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“…It was soon clear that this quantity could not represent all relevant energy flows, which led to the consideration of alternative measures [7]. Several disparate definitions of energy cost have been proposed in the context of quantum thermodynamics to characterize quantum engines and refrigerators [8][9][10][11][12][13][14][15][16][17][18]. These definitions have been systematically formulated in terms of the cycling system (PS) alone.…”

Section: Introductionmentioning

confidence: 99%

Energy consumption for shortcuts to adiabaticity

et al. 2017

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Type of publicationArticle (peer-reviewed) Shortcuts to adiabaticity let a system reach the results of a slow adiabatic process in a shorter time. We propose to quantify the "energy cost" of the shortcut by the energy consumption of the system enlarged by including the control device. A mechanical model where the dynamics of the system and control device can be explicitly described illustrates that a broad range of possible values for the consumption is possible, including zero (above the adiabatic energy increment) when friction is negligible and the energy given away as negative power is stored and reused by perfect regenerative braking.

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Section: Introductionmentioning

confidence: 99%

Energy consumption for shortcuts to adiabaticity

et al. 2017

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“…Regardless, one can use the above approach to assess the performance of a quantum Otto-cycle facilitated using a STA, as depicted in figure 1. To this end, and in line with the analysis of [44,45] where the case of the exactly solvable harmonic oscillator was treated, we calculate the efficiency of the cycle…”

Section: Performance Enhanced Otto Cycle With a Soliton Matter Wavementioning

confidence: 99%

“…While these approaches have often centered around non-interacting systems, STAs have also been explored in interacting, nonlinear, and other systems [20][21][22][23][24][25]. Remarkably, STAs have fundamental implications on quantum speed limits (QSL) [26][27][28][29][30], time-energy uncertainty relations (or energy cost) [31][32][33][34][35][36][37][38], and the quantification of the third law of thermodynamics in the context of quantum refrigerators [39,40], which results in intriguing practical applications in heat engines [41][42][43][44][45][46][47].…”

Section: Introductionmentioning

confidence: 99%

“…The creation and control of bright solitons in BECs is well established experimentally [56][57][58][59][60][61], making it an ideal nonlinear interacting system to investigate. Rather than using the STA to modulate the trapping potential and therefore do work on the system, as has been investigated previously for example in [41][42][43][44][45], we instead fix the trapping frequency and compress and expand the soliton by time dependently varying the nonlinear interaction strength. This can be achieved experimentally by exploiting the Feshbach resonances of the BEC, thereby realizing a form of Feshbach engine.…”

Section: Introductionmentioning

confidence: 99%

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An efficient nonlinear Feshbach engine

Fogarty

Campbell

et al. 2018

New J. Phys.

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We investigate a thermodynamic cycle using a Bose-Einstein condensate (BEC) with nonlinear interactions as the working medium. Exploiting Feshbach resonances to change the interaction strength of the BEC allows us to produce work by expanding and compressing the gas. To ensure a large power output from this engine these strokes must be performed on a short timescale, however such non-adiabatic strokes can create irreversible work which degrades the engine's efficiency. To combat this, we design a shortcut to adiabaticity which can achieve an adiabatic-like evolution within a finite time, therefore significantly reducing the out-of-equilibrium excitations in the BEC. We investigate the effect of the shortcut to adiabaticity on the efficiency and power output of the engine and show that the tunable nonlinearity strength, modulated by Feshbach resonances, serves as a useful tool to enhance the system's performance.

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“…The cost for the projective measurement for one qubit is k B T ln 2 [52], which is the same as the cost of classical measurement of one bit. This leads to modified definition of the efficiency [53] as…”

Section: Effect Of Measurementmentioning

confidence: 99%

Measurement-induced operation of two-ion quantum heat machines

Chand

Biswas

2017

Phys. Rev. E

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We show how one can implement a quantum heat machine by using two interacting trapped ions, in presence of a thermal bath. The electronic states of the ions act like a working substance, while the vibrational mode is modelled as the cold bath. The heat exchange with the cold bath is mimicked by the projective measurement of the electronic states. We show how such measurement in a suitable basis can lead to either a quantum heat engine or a refrigerator, that undergoes a quantum Otto cycle. The local magnetic field is adiabatically changed during the heat cycle. The performance of the heat machine depends upon the interaction strength between the ions, the magnetic fields, and the measurement cost. In our model, the coupling to the hot and the cold baths are never switched off in an alternative fashion during the heat cycle, unlike other existing proposals of quantum heat engines. This makes our proposal experimentally realizable using current tapped-ion technology.

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Performance of shortcut-to-adiabaticity quantum engines

Cited by 103 publications

References 63 publications

Energy consumption for shortcuts to adiabaticity

Energy consumption for shortcuts to adiabaticity

An efficient nonlinear Feshbach engine

Measurement-induced operation of two-ion quantum heat machines

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