28 July 2024 to 3 August 2024
Europe/London timezone

Entanglement entropy by tensor renormalization group approach

2 Aug 2024, 14:35
20m
Talk Theoretical Developments Theoretical developments

Speaker

Gota Tanaka (Meiji Gakuin University)

Description

We present a general method to analyze the size dependence of entanglement entropy (EE) within the tensor renormalization group (TRG). Much attention has been paid to the TRG method since it does not suffer from the sign problem and enables us to take the large-volume limit easily. We represent the density matrix of a 1D quantum system as a 2D tensor network and develop a method to calculate the EE of any subsystem size. Applying this method to 1D quantum Ising model, we compute EE and show that the size dependence of EE agrees with the known result.

Primary authors

Daisuke Kadoh (Keio Univ.) Gota Tanaka (Meiji Gakuin University) Shinji Takeda (Kanazawa University) Mr Takahiro Hayazaki (Kanazawa University)

Presentation materials