Related papers: Finite resolution ancilla-assisted measurements of quantum work distributions

Finite resolution ancilla-assisted measurements of quantum work distributions

URL: http://arxiv.org/abs/2111.15470v2
Date: Fri, 15 Apr 2022 16:07:09 GMT
Title: Finite resolution ancilla-assisted measurements of quantum work distributions
Authors: Shadi Ali Ahmad and Alexander R. H. Smith
Abstract summary: We consider an ancilla-assisted protocol measuring the work done on a quantum system driven by a time-dependent Hamiltonian. We consider system Hamiltonians which both commute and do not commute at different times, finding corrections to fluctuation relations like the Jarzynski equality and the Crooks relation.
Score: 77.34726150561087
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: Work is an observable quantity associated with a process, however there is no Hermitian operator associated with its measurement. We consider an ancilla-assisted protocol measuring the work done on a quantum system driven by a time-dependent Hamiltonian via two von-Neumann measurements of the system's energy carried out by a measuring apparatus modeled as a free particle of finite localization and interaction time with the system. We consider system Hamiltonians which both commute and do not commute at different times, finding corrections to fluctuation relations like the Jarzynski equality and the Crooks relation. This measurement model allows us to quantify the effect that measuring has on the estimated work distribution, and associated average work done on the system and average heat exchanged with the measuring apparatus.

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