Universal finite-time thermodynamics of many-body quantum machines from
Kibble-Zurek scaling
- URL: http://arxiv.org/abs/2003.06607v2
- Date: Thu, 19 Nov 2020 03:09:53 GMT
- Title: Universal finite-time thermodynamics of many-body quantum machines from
Kibble-Zurek scaling
- Authors: Revathy B. S., Victor Mukherjee, Uma Divakaran and Adolfo del Campo
- Abstract summary: 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.
We also show how the efficiency and power vary as the engine becomes critical.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: 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.
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