Dephasing and dissipation in qubit thermodynamics

Abstract

We analyze the stochastic evolution and dephasing of a qubit within the quantum jump (QJ) 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. As a solvable example, we study a qubit in the weak dissipation limit, and demonstrate that dephasing and relaxation render the Jarzynski and Crooks fluctuation relations (FRs) of non-equilibrium 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 $⟨e^{-\beta U}⟩$ (where $\beta$ is the inverse temperature) with the qubit's relaxation and dephasing rates, and discuss this relationship for different mechanisms of decoherence.

9 pages

References in corpus (11)

• Fluctuation theorems: Work is not an observable
• Experimental Test of Quantum Jarzynski Equality with a Trapped Ion System
• Experimental reconstruction of work distribution and verification of fluctuation relations at the full quantum level
• Low-frequency noise as a source of dephasing of a qubit
• Decoherence in qubits due to low-frequency noise
• Quantum jump approach for work and dissipation in a two-level system
• Entropy production along nonequilibrium quantum jump trajectories
• Quantum-Limited Measurement and Information in Mesoscopic Detectors
• Temperature square dependence of the low frequency 1/f charge noise in the Josephson junction qubits
• Entropy production and information fluctuations along quantum trajectories
• Low-frequency Noise in Josephson Junctions for Superconducting Qubits

Cited by in corpus (11)

• Information-to-work conversion by Maxwell's demon in a superconducting circuit-QED system
• Verification of the Quantum Nonequilibrium Work Relation in the Presence of Decoherence
• Thermodynamics in Single-Electron Circuits and Superconducting Qubits
• Quantum Trajectory Thermodynamics with Discrete Feedback Control
• Quantum jump model for a system with a finite-size environment
• Finite size bath in qubit thermodynamics
• Entropy production and fluctuations in a Maxwell's refrigerator with squeezing
• Constraining work fluctuations of non-Hermitian dynamics across the exceptional point of a superconducting qubit
• Dephasing of planar Ge hole spin qubits due to 1/$\text{f}$ charge noise
• Comparison between quantum jumps and master equation in the presence of a finite environment
• Calorimetric measurement of work for a driven harmonic oscillator