Non-linear transport in an out-of-equilibrium single-site Bose Hubbard model: scaling, rectification and time dynamics

Abstract

Recent experiments in hybrid-quantum systems facilitate the potential realization of one of the most fundamental interacting Hamiltonian-Reservoir system, namely, the single-site Bose-Hubbard model coupled to two reservoirs at different temperatures. Using Redfield equations in Born-Markov approximation, we compute non-equilibrium average particle number, energy and currents beyond linear response regime, both time-dynamics and steady state and investigate its dependence on various tunable parameters analytically. We find interesting scaling laws in high temperature regimes that are independent of choice of bath spectral functions. We also demonstrate that the system shows very interesting particle and energy current rectification properties which can be controlled via the relative strength of interaction and temperatures, as well as via the degree of asymmetry in system-bath coupling. Specifically, we find inversion of direction of thermal rectification as a function of the relative strength of the interaction strength and the temperatures. We also show that, in the limit of low-temperature and high interaction strength our results are consistent with the non-equilibrium spin-Boson model. Our results are experimentally relevant not only to hybrid quantum systems, but also in other areas such as molecular junctions.

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Cited by in corpus (12)

• Colloquium: Quantum heat transport in condensed matter systems
• Quantum-dot circuit-QED thermoelectric diodes and transistors
• Thermal rectification through a nonlinear quantum resonator
• Steady state quantum transport through an anharmonic oscillator strongly coupled to two heat reservoirs
• Minimal two-body quantum absorption refrigerator
• Nonreciprocal Quantum Transport at Junctions of Structured Leads
• Nonreciprocal heat flux via synthetic fields in linear quantum systems
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• Steady state current fluctuations and dynamical control in a nonequilibrium single-site Bose-Hubbard system
• Nonclassical radiation from a nonlinear oscillator driven solely by classical $1/f$ noise
• Permanent spin currents in cavity-qubit systems
• Atomic switch for control of heat transfer in coupled cavities