Regensburg 2025 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 31: Focus Session: Nonequilibrium Collective Behavior in Open Classical and Quantum Systems

DY 31.11: Talk

Thursday, March 20, 2025, 12:30–12:45, H37

Signatures of Quantum Chaos and fermionization in the incoherent transport of bosonic carriers in the Bose-Hubbard chain — Pavel Muraev, Dmitri Maksimov, and •Andrey Kolovsky — Krasnoyarsk, Russia

We analyse the stationary current of Bose particles across the Bose-Hubbard chain connected to a battery, focusing on the effect of inter-particle interactions. It is shown that the current magnitude drastically decreases as the strength of inter-particle interactions exceeds the critical value which marks the transition to quantum chaos in the Bose-Hubbard Hamiltonian. We found that this transition is well reflected in the non-equilibrium many-body density matrix of the system. Namely, the level-spacing distribution for eigenvalues of the density matrix changes from Poisson to Wigner-Dyson distributions. With the further increase of the interaction strength, the Wigner-Dyson spectrum statistics changes back to the Poisson statistics which now marks fermionization of the Bose particles. With respect to the stationary current, this leads to the counter-intuitive dependence of the current magnitude on the particle number.

Keywords: Bose-Hubbard model; Quantum Chaos; Open systems