Universal finite-time thermodynamics of many-body quantum machines from Kibble-Zurek scaling

Revathy, B. S.; Mukherjee, Victor; Divakaran, Uma; del Campo, Adolfo

doi:10.1103/physrevresearch.2.043247

Universal finite-time thermodynamics of many-body quantum machines from Kibble-Zurek scaling

Journal Article · Wed Nov 18 04:00:00 EST 2020 · Physical Review Research

DOI:https://doi.org/10.1103/physrevresearch.2.043247· OSTI ID:1834523

Revathy, B. S. ^[1]; ^[2]; Divakaran, Uma ^[1]; ^[3]

Indian Inst. of Technology, Palakkad (India)
Indian Inst. of Science Education and Research, Berhampur (India)
Donostia International Physics Center, San Sebastián (Spain); Basque Foundation for Science, Bilbao (Spain). IKERBASQUE; Univ. of Massachusetts, Boston, MA (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

We demonstrate the existence of universal features in the finite-time thermodynamics of quantum machines by considering a many-body quantum Otto cycle in which the working medium is driven across quantum critical points during the unitary strokes. Specifically, we consider a quantum engine powered by dissipative energizing and relaxing baths. We show that under very generic conditions, the output work is governed by the Kibble-Zurek mechanism; i.e., it exhibits a universal power-law scaling with the driving speed through the critical points. We also optimize the finite-time thermodynamics as a function of the driving speed. The maximum power and the corresponding efficiency take a universal form, and are reached for an optimal speed that is governed by the critical exponents. We exemplify our results by considering a transverse-field Ising spin chain as the working medium. For this model, we also show how the efficiency and power vary as the engine becomes critical.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL), Los Allamos, NM (United States)

Sponsoring Organization:: USDOE; Science and Engineering Research Board (SERB) India

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1834523

Report Number(s):: LA-UR--20-22256

Journal Information:: Physical Review Research, Journal Name: Physical Review Research Journal Issue: 4 Vol. 2; ISSN 2643-1564

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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