Dephasing and dissipation in qubit thermodynamics
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Dephasing and dissipation in qubit thermodynamics. / Pekola, J. P.; Masuyama, Y.; Nakamura, Y.; Bergli, J.; Galperin, Y.M.
In: Physical Review E, Vol. 91, No. 6, 062109, 08.06.2015, p. 1-8.Research output: Contribution to journal › Article › Scientific › peer-review
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TY - JOUR
T1 - Dephasing and dissipation in qubit thermodynamics
AU - Pekola, J. P.
AU - Masuyama, Y.
AU - Nakamura, Y.
AU - Bergli, J.
AU - Galperin, Y.M.
N1 - VK: Low Temperature Laboratory
PY - 2015/6/8
Y1 - 2015/6/8
N2 - We analyze the stochastic evolution and dephasing of a qubit within the quantum jump approach. It allows one to treat individual realizations of inelastic processes, and in this way it provides solutions, for instance, to problems in quantum thermodynamics and distributions in statistical mechanics. We demonstrate that dephasing and relaxation of the qubit render the Jarzynski and Crooks fluctuation relations (FRs) of nonequilibrium thermodynamics intact. On the contrary, the standard two-measurement protocol, taking into account only the fluctuations of the internal energy U, leads to deviations in FRs under the same conditions. We relate the average ⟨e−βU⟩ (where β is the inverse temperature) with the qubit's relaxation and dephasing rates in the weak dissipation limit and discuss this relationship for different mechanisms of decoherence.
AB - We analyze the stochastic evolution and dephasing of a qubit within the quantum jump approach. It allows one to treat individual realizations of inelastic processes, and in this way it provides solutions, for instance, to problems in quantum thermodynamics and distributions in statistical mechanics. We demonstrate that dephasing and relaxation of the qubit render the Jarzynski and Crooks fluctuation relations (FRs) of nonequilibrium thermodynamics intact. On the contrary, the standard two-measurement protocol, taking into account only the fluctuations of the internal energy U, leads to deviations in FRs under the same conditions. We relate the average ⟨e−βU⟩ (where β is the inverse temperature) with the qubit's relaxation and dephasing rates in the weak dissipation limit and discuss this relationship for different mechanisms of decoherence.
UR - http://dx.doi.org/10.1103/PhysRevE.91.062109
U2 - 10.1103/PhysRevE.91.062109
DO - 10.1103/PhysRevE.91.062109
M3 - Article
VL - 91
SP - 1
EP - 8
JO - Physical Review E
JF - Physical Review E
SN - 2470-0045
IS - 6
M1 - 062109
ER -
ID: 2003738
