Strongly coupled quantum Otto cycle with single qubit bath

Abstract

We discuss a model of a closed quantum evolution of two-qubits where the joint Hamiltonian is so chosen that one of the qubits acts as a bath and thermalize the other qubit which is acting as the system. The corresponding exact master equation for the system is derived. Interestingly, for a specific choice of parameters the master equation takes the Gorini-Kossakowski-Lindblad-Sudarshan (GKLS) form with constant coefficients, representing pumping and damping of a single qubit system. Based on this model we construct an Otto cycle connected to a single qubit bath and study its thermodynamic properties. Our analysis goes beyond the conventional weak coupling scenario and illustrates the effects of finite bath including non-Markovianity. We find closed form expressions for efficiency (coefficient of performance), power (cooling power) for heat engine regime (refrigerator regime) for different modifications of the joint Hamiltonian.

11 pages, 3 figures, comments welcome

References in corpus (13)

• Quantum Non-Markovianity: Characterization, Quantification and Detection
• Quantum Thermodynamic Cycles and quantum heat engines
• Assessing non-Markovian dynamics
• Operational Markov condition for quantum processes
• Performance of a quantum heat engine at strong reservoir coupling
• Inelastic Microwave Photon Scattering off a Quantum Impurity in a Josephson-Junction Array
• Non-Markov Enhancement of Maximum Power for Quantum Thermal Machines
• Qubit absorption refrigerator at strong coupling
• Information flow versus divisibility for qubit evolution
• Capturing non-Markovian dynamics with the reaction coordinate method
• Non-Markovian thermal operations boosting the performance of quantum heat engines
• Quantum regression beyond the Born-Markov approximation for generalized spin-boson models
• Strong coupling in thermoelectric nanojunctions: a reaction coordinate framework

Cited by in corpus (4)

• Dynamically Emergent Quantum Thermodynamics: Non-Markovian Otto Cycle
• Exploring the Limits of Controlled Markovian Quantum Dynamics with Thermal Resources
• Availing non-Markovian dynamics in effective negative temperature-based transient quantum Otto engines
• Transient effects in quantum refrigerators with finite environments