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Statistics of work done in a degenerate parametric amplification process

Yadalam, Hari Kumar and Harbola, Upendra (2019) Statistics of work done in a degenerate parametric amplification process. In: PHYSICAL REVIEW A, 99 (6).

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Official URL: https://dx.doi.org/10.1103/PhysRevA.99.063802


We study statistics of work done by two classical electric-field pumps (two-photon and one-photon resonant pumps) on a quantum optical oscillator. We compute the moment generating function for the energy change of the oscillator, interpreted as work done by the classical drives on the quantum oscillator starting out in a thermalized Boltzmann state. The moment generating function is inverted, analytically when only one of the pumps is turned on and numerically when both the pumps are turned on, to get the probability function for the work. The resulting probability function for the work done by the classical drive is shown to satisfy transient detailed and integral work fluctuation theorems. Interestingly, we find that, in order for the work distribution function to satisfy the fluctuation theorem in the presence of both the drivings, the relative phases of drivings need to be shifted by pi, which is related to the broken time-reversal symmetry of the Hamiltonian.

Item Type: Journal Article
Additional Information: copyright for this article is belongs to AMER PHYSICAL SOC
Department/Centre: Division of Chemical Sciences > Inorganic & Physical Chemistry
Date Deposited: 25 Jul 2019 05:57
Last Modified: 25 Jul 2019 05:57
URI: http://eprints.iisc.ac.in/id/eprint/63135

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