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TT: Fachverband Tiefe Temperaturen

TT 79: Quantum Chaos and Coherent Dynamics (joint session DY/TT)

TT 79.4: Talk

Thursday, March 21, 2024, 15:45–16:00, A 151

A semiclassical approach to mode entanglement in Bose-Hubbard systems — •Sebastian Hörhold, Juan Diego Urbina, and Klaus Richter — Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg, Germany

Entanglement is the fundamental mechanism behind phenomena as equilibration and decoherence [1] in many-body systems. Degrees of freedom of bosonic theories, describing for example cold atoms in optical lattices, are represented by complex matter fields at each lattice point and one speaks then of mode entanglement. In a semiclassical approach [2] based on interfering mean-field paths in Fock space, describing mode entanglement becomes rather cumbersome [3] as the path integral is constructed by using product states.

The aim of our work is to incorporate entanglement at the level of the path integral, similar to what has been done for matrix product states in spin systems [4]. We address then whether the effective classical description, closely related to the time-dependent variational approach [5], captures the emergence of entanglement.

[1] M. Rigol, V. Dunjko and M. Olshanii, Nature 452, 854-858

[2] K. Richter, J. D. Urbina and S. Tomsovic, J. Phys. A: Math. Theor. 55 453001

[3] S. Tomsovic et al., Phys. Rev. A 97, 061606(R)

[4] A. G. Green et al., arXiv:1607.01778v1

[5] J. Haegeman et al., arXiv:1103.0936v2

Keywords: Semiclassics; Entanglement; Bose-Hubbard systems; Path Integral; Classical Limit