Work

Time-dependent Markovian quantum master equation

Year: 2018

Type: article

Abstract: We construct a quantum Markovian master equation for a driven system coupled to a thermal bath. The derivation utilizes an explicit solution of the propagator of the driven system. This enables the validity of the master equation to be extended beyond the adiabatic limit. The nonadiabatic master equation (NAME) is derived employing the weak system-bath coupling limit. The NAME is valid when a separation of timescales exists between the bath dynamics and the external driving. In contrast to the adiabatic master equation, the NAME leads to coupled equations of motion for the population and coherence. We employ the NAME to solve the example of an open driven time-dependent harmonic oscillator. For the harmonic oscillator the NAME predicts the emergence of coherence associated with the dissipation term. As a result of the nonadiabatic driving the thermalization rate is suppressed. The solution is compared with both numerical calculations and the adiabatic master equation.

Source: Physical Review A

DOI: 10.1103/physreva.98.052129

Authors: Roie Dann, Amikam Levy, Ronnie Kosloff

Institutions: University of California, Santa Barbara, Hebrew University of Jerusalem, Kavli Institute for Theoretical Physics, Tel Aviv University, University of California, Berkeley

Language: English

Topic: Advanced Thermodynamics and Statistical Mechanics

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Israel Science Foundation, Kavli Institute for Theoretical Physics, University of California, Santa Barbara

Awards: G1871477277, G4134610728