Many-body quantum heat engines with shortcuts to adiabaticity

Hartmann, Andreas; Mukherjee, Victor; Niedenzu, Wolfgang; Lechner, Wolfgang

doi:10.1103/physrevresearch.2.023145

Cited by 64 publications

(59 citation statements)

References 79 publications

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“…This work puts the results obtained in Ref. [52] into a wider context. In particular, this work significantly advances the ideas of the latter by providing a full assessment of experimental tuning parameters to consider and still being applicable for strongly site-dependent magnetic fields and interactions in a fully connected WM due to its increased complexity of external driving.…”

Section: Discussion and Outlookmentioning

confidence: 67%

“…CD stemming from the external control device [52]. In fact, in the case of exact CD driving we go on the optimal, i.e., adiabatic, path from points A to B and C to D in Fig.…”

Section: Discussion and Outlookmentioning

confidence: 99%

“…Ref. [52]). Experimentally it is advantageous to have a vanishing contribution from the external control device as we want the external control device to fully assist the piston instead of just exploiting it to run the quantum refrigerator.…”

Section: Quantum Refrigerator Under Stamentioning

confidence: 99%

“…With this challenge in mind, Sels and Polkovnikov [42] have developed a variational principle where approximate multi-spin CD terms can be found. Based on this method, a quantum heat engine using a many-body quantum WM and local 1-spin CD Hamiltonian could be implemented [52]. However, the latter are poor approximations and can only efficiently speed up an Otto cycle with weakly coupled WM.…”

Section: Introductionmentioning

confidence: 99%

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Multi-spin counter-diabatic driving in many-body quantum Otto refrigerators

Hartmann

Mukherjee

Mbeng

et al. 2020

Quantum

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Quantum refrigerators pump heat from a cold to a hot reservoir. In the few-particle regime, counter-diabatic (CD) driving of, originally adiabatic, work-exchange strokes is a promising candidate to overcome the bottleneck of vanishing cooling power. Here, we present a finite-time many-body quantum refrigerator that yields finite cooling power at high coefficient of performance, that considerably outperforms its non-adiabatic counterpart. We employ multi-spin CD driving and numerically investigate the scaling behavior of the refrigeration performance with system size. We further prove that optimal refrigeration via the exact CD protocol is a catalytic process.

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Section: Discussion and Outlookmentioning

confidence: 67%

“…CD stemming from the external control device [52]. In fact, in the case of exact CD driving we go on the optimal, i.e., adiabatic, path from points A to B and C to D in Fig.…”

Section: Discussion and Outlookmentioning

confidence: 99%

Section: Quantum Refrigerator Under Stamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Multi-spin counter-diabatic driving in many-body quantum Otto refrigerators

Hartmann

Mukherjee

Mbeng

et al. 2020

Quantum

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“…The necessity to diagonalize H 0 (t) to determine the H CD (t) is a demanding task for systems with large Hilbert space. Therefore, alternative approaches such as the ones that do not require the knowledge of full spectrum [35,36] or approximate driving schemes [37] have been developed and utilized in many-body systems [38]. When performed adiabatically, the entropy remains constant during these processes, as depicted by constant populations of the energy levels.…”

Section: Counterdiabatic Drivingmentioning

confidence: 99%

Finite-time two-spin quantum Otto engines: Shortcuts to adiabaticity vs. irreversibility

Çakmak¹

2021

Turk J Phys

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We propose a quantum Otto cycle in a two spin-1/2 anisotropic XY model in a transverse external magnetic field. We first characterize the parameter regime that the working medium operates as an engine in the adiabatic regime. Then, we consider finite-time behavior of the engine with and without utilizing a shortcut to adiabaticity (STA) technique. STA schemes guarantee that the dynamics of a system follows the adiabatic path, at the expense of introducing an external control. We compare the performance of the nonadiabatic and STA engines for a fixed adiabatic efficiency but different parameters of the working medium. We observe that, for certain parameter regimes, the irreversibility, as measured by the efficiency lags, due to finite-time driving is so low that nonadiabatic engine performs quite close to the adiabatic engine, leaving the STA engine only marginally better than the nonadiabatic one. This suggests that by designing the working medium Hamiltonian one may spare the difficulty of dealing with an external control protocol.

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Work Statistics and Entanglement Across the Fermionic Superfluid‐Insulator Transition

Zawadzki,

Canella,

França

et al. 2024

Adv Quantum Tech

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Entanglement in many‐body systems may display quantum phase transition signatures, and analogous insights are emerging in the study of work fluctuations. Here, the fermionic superfluid‐to‐insulator transition (SIT) is considered and related to its entanglement properties and its work distribution statistics. Using the attractive fermionic Hubbard model with randomly distributed impurities, the work distribution is analyzed under two quench protocols triggering the SIT. In the first, the concentration of impurities is increased; in the second, the impurities' disorder strength is varied. The results indicate that, at criticality, the entanglement is minimized while the average work is maximized. This study demonstrates that, for this state, density fluctuations vanish at all orders, resulting in all central moments of the work probability distribution being precisely zero. For systems undergoing a precursor to the transition (short chains with finite impurity potential) numerical results confirm these predictions, with higher moments further from the ideal results. For both protocols, at criticality, the system absorbs the most energy with almost no penalty in terms of fluctuations: ultimately this feature can be used to implement a quantum critical battery. The impact of temperature on this critical behaviour is also investigated and shown to favor work extraction for high enough temperatures.

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Many-body quantum heat engines with shortcuts to adiabaticity

Cited by 64 publications

References 79 publications

Multi-spin counter-diabatic driving in many-body quantum Otto refrigerators

Multi-spin counter-diabatic driving in many-body quantum Otto refrigerators

Finite-time two-spin quantum Otto engines: Shortcuts to adiabaticity vs. irreversibility

Work Statistics and Entanglement Across the Fermionic Superfluid‐Insulator Transition

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