SAMOP 2023 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 22: Poster II

Q 22.63: Poster

Dienstag, 7. März 2023, 16:30–19:00, Empore Lichthof

Level statistics and entanglement entropy of Rydberg dressed bosons in a triple-well potential — •Tianyi Yan¹, Matthew Colllins¹, Rejish Nath², and Weibin Li¹ — ¹School of Physics and Astronomy, University of Nottingham, Nottingham, NG7 2RD, UK — ²Department of Physics, Indian Institute of Science Education and Research, Dr. Homi Bhabha Road, Pune-411008, Maharashtra, India

We study signatures of quantum chaos of Rydberg dressed bosonic atoms in a three-well potential. Dynamics of the atoms are governed by an extended Bose-Hubbard model (EBHM) where long-range nearest-neighbor and next-nearest-neighbor interactions are induced by laser coupling the ground state to Rydberg state. We analyze level statistics of the EBHM with N atoms through numerical diagonalization. In the presence of a tilting potential, the level statistics is a Poissonian distribution when the dressed interaction is weak. It becomes a Wigner-Dyson distribution by increasing the interaction strength, signifying the emergence of quantum chaos. A hybrid distribution is obtained when the dressed interaction is much stronger than the hopping rate. Using Fock basis, we further calculate dynamical evolution of the entanglement entropy. The maximal value (upper bound) of the entanglement entropy is found to be ln(N+1). The maximum of the time-averaged entanglement entropy appears when the chaos is strong. The location of the maximum as a function of the dressed interaction and tilting potential is independent of N when N is large.