Bistability in a nonequilibrium quantum system with electron-phonon interactions

Wilner EY, Wang H, Cohen G, Thoss M, Rabani E (2013)


Publication Type: Journal article

Publication year: 2013

Journal

Publisher: American Physical Society

Book Volume: 88

Pages Range: 045137

Journal Issue: 4

DOI: 10.1103/PhysRevB.88.045137

Abstract

The existence of more than one steady state in a many-body quantum system driven out of equilibrium has been a matter of debate, both in the context of simple impurity models and in the case of inelastic tunneling channels. In this paper, we combine a reduced density matrix formalism with the multilayer multiconfiguration time-dependent Hartree method to address this problem. This allows us to obtain a converged numerical solution of the nonequilibrium dynamics. Considering a generic model for quantum transport through a quantum dot with electron-phonon interaction, we prove that a unique steady state exists regardless of the initial electronic preparation of the quantum dot, consistent with the converged numerical results. However, a bistability can be observed for different initial phonon preparations. The effects of the phonon frequency and strength of the electron-phonon couplings on the nonequilibrium dynamics and on the emergence of bistability is discussed. © 2013 American Physical Society.

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APA:

Wilner, E.Y., Wang, H., Cohen, G., Thoss, M., & Rabani, E. (2013). Bistability in a nonequilibrium quantum system with electron-phonon interactions. Physical Review B, 88(4), 045137. https://dx.doi.org/10.1103/PhysRevB.88.045137

MLA:

Wilner, Eli Y., et al. "Bistability in a nonequilibrium quantum system with electron-phonon interactions." Physical Review B 88.4 (2013): 045137.

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