# The 27th International Conference on Atomic Physics

17-22 July 2022
Royal Conservatory of Music, Toronto
America/Toronto timezone

## Entanglement dynamics of bosons trapped in a 1D optical lattice

20 Jul 2022, 17:00
1h 30m
Hart House (Hart House)

### Hart House

#### Hart House

7 Hart House Cir, Toronto, ON M5S 3H3
Poster presentation Degenerate gases, many-body physics, and quantum simulation

### Speaker

Shion Yamashika (Chuo University)

### Description

Quantum entanglement has attracted much attention in the study of quantum many-body systems because it plays important roles in various phenomena such as thermalization of isolated quantum systems. Especially, it is remarkable that the 2nd-order Renyi entropy (RE), which is a measure of entanglement, has been successfully measured in the system of bosons trapped in a 1D optical lattice.
$\quad$Motivated the experimental development, we study entanglement dynamics of bosons in a 1D optical lattice. Specifically, we calculate the time-evolution of the RE when the system is quenched from the deep Mott insulating (MI) regime. For quench within the MI regime, we derive the analytic expression for the time-evolution of RE and show that it oscillates with the period determined by the strength of the on-site interaction and finally converges to a certain value proportional to the subsystem size. On the other hand, for quench into the superfluid (SF) regime, RE does not oscillate but increases almost linearly and converges to a certain value that is also proportional to the subsystem size. We also show that the behavior of the 2nd-order RE exhibits distinct features depending of whether the system is quenched into the SF or MI phases. This implies that the signature of the SF-MI phase transition appears in the entanglement dynamics.

Presenter name Shion Yamashika

### Primary authors

Shion Yamashika (Chuo University) Prof. Ryosuke Yoshii (Sanyo-Onoda City University ) Dr Daichi Kagamihara (Kindai University) Prof. Shunji Tsuchiya (Chuo University)

### Presentation Materials

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