Thermodynamics of a periodically driven qubit

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http://hdl.handle.net/10138/307160

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Donvil , B 2018 , ' Thermodynamics of a periodically driven qubit ' , Journal of Statistical Mechanics: Theory and Experiment . https://doi.org/10.1088/1742-5468/aab857

Title: Thermodynamics of a periodically driven qubit
Author: Donvil, Brecht
Contributor: University of Helsinki, Department of Mathematics and Statistics
Date: 2018-04
Language: eng
Number of pages: 24
Belongs to series: Journal of Statistical Mechanics: Theory and Experiment
ISSN: 1742-5468
URI: http://hdl.handle.net/10138/307160
Abstract: We present a new approach to the open system dynamics of a periodically driven qubit in contact with a temperature bath. We are specifically interested in the thermodynamics of the qubit. It is well known that by combining the Markovian approximation with Floquet theory it is possible to derive a stochastic Schrodinger equation in C-2 for the state of the qubit. We follow here a different approach. We use Floquet theory to embed the time-non autonomous qubit dynamics into time-autonomous yet infinite dimensional dynamics. We refer to the resulting infinite dimensional system as the dressed-qubit. Using the Markovian approximation we derive the stochastic Schrodinger equation for the dressed-qubit. The advantage of our approach is that the jump operators are ladder operators of the Hamiltonian. This simplifies the formulation of the thermodynamics. We use the thermodynamics of the infinite dimensional system to recover the thermodynamical description for the driven qubit. We compare our results with the existing literature and recover the known results.
Subject: quantum dissipative systems
dissipative systems
stochastic processes
SCHRODINGER-EQUATION
STOCHASTIC DYNAMICS
QUANTUM-SYSTEMS
TIME
FIELDS
STATES
112 Statistics and probability
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