Speaker
Alberto Imparato
Description
Alberto Imparato
Quantum duets as autonomous thermal motors
I will discuss how directed transport can emerge in two-temperature autonomous motors with broken spatial symmetry.
I will first consider the case of two quantum Brownian particles in contact with two heat baths at different temperatures and moving on shifted periodic potentials. The model exhibits a non vanishing center-of-mass average velocity, as a consequence of the temperature gradient and of the broken spatial symmetry. Such velocity can be calculated exactly in the limit of small corrugation. This model represents the extension to the two-temperature case of the ”Quantum Brownian motion in a periodic potential“ considered in M. P. A. Fisher and W. Zwerger, Phys. Rev. B 32, 6190 (1985). I will then show that the Quantum Molecular Dynamics (QMD) numerical algorithm can be successfully used to evaluate the properties of such a non- equilibrium, non-linear system.
I will finally consider the discrete counterpart of the previous autonomous motor, composed of two 2D rotators that interact through the clock model Hamiltonian. In this case the dynamics is of Lindblad form, and one can derive an explicit formula for the probability current.
Quantum duets as autonomous thermal motors
I will discuss how directed transport can emerge in two-temperature autonomous motors with broken spatial symmetry.
I will first consider the case of two quantum Brownian particles in contact with two heat baths at different temperatures and moving on shifted periodic potentials. The model exhibits a non vanishing center-of-mass average velocity, as a consequence of the temperature gradient and of the broken spatial symmetry. Such velocity can be calculated exactly in the limit of small corrugation. This model represents the extension to the two-temperature case of the ”Quantum Brownian motion in a periodic potential“ considered in M. P. A. Fisher and W. Zwerger, Phys. Rev. B 32, 6190 (1985). I will then show that the Quantum Molecular Dynamics (QMD) numerical algorithm can be successfully used to evaluate the properties of such a non- equilibrium, non-linear system.
I will finally consider the discrete counterpart of the previous autonomous motor, composed of two 2D rotators that interact through the clock model Hamiltonian. In this case the dynamics is of Lindblad form, and one can derive an explicit formula for the probability current.
Primary author
Prof.
Alberto Imparato
(Department of Physics and Astronomy University of Aarhus)
