News-2025-02:
Recently, we proposed a revised low-rank approximation by Monte Carlo sampling in the iTEBD decomposition process. Our results show that compared to the original iTEBD algorithm, the proposed algorithm achieves faster convergence with comparable accuracy. Based on this algorithm, we calculate the ground state energy of the SU(3) AFH model with representation and find evidence that the ground state belongs to a trivial symmetry-protected topological phase.
More details can be found here.
News-2023-06:
Our recent work considers the finite-temperature effect in the extended Bose-Hubbard model, the model which shows symmetry-protected phases. We study the thermal fluctuations of the system by means of the SSE quantum Monte Carlo algorithm. We observe a crossover temperature in such a system, which shows signatures of the quantum critical point.
More details can be found here.
News-2023-05:
Our recent paper is suggested by the editors!
For the details, refer to https://mp.weixin.qq.com/s/SaAkhp-EPOp0Gw_El_zYlQ.
News-2023-04:
Recently, we propose a way to realize the mysterious supersolid phase (a solid phase but super-fluid!) in cold atomic systems with state-dependent optical lattices.
We construct a two-channel model based on the one-dimensional extended Bose–Hubbard model, by including a second channel of free bosons. After mapping the system to a reduced single-channel one, we solve this system using the density matrix renormalization group method. We find the region where the superfluid and density-wave orders coexist which signals a supersolid state.
For more interesting details check here.
News-2023-03:
I proposed an optimized iTEBD algorithm recently, by reducing the time complexity through multiple singular value decompositions. This algorithm is straightforward, but shows power in determining the ground state properties for systems with large on-site degrees of freedom. I then applied this algorithm to a SU(4) Heisenberg model, and the results show more accurate energy compared with the traditional iTEBD algorithm.
More fruitful details can be found here.
News-2022-10:
We consider the breaking dynamics of a Haldane insulator. We find the high “energy” states in the entanglement spectrum are pushed up during this dynamics. This makes the system clearer and leads to two obvious lowest spectra, which is more accessible for the experimental observation of these spectra.
Details can be found here.
News-2022-08:
Recently, we have proposed a way in cold atoms to realize the discrete-time quantum walk version of Dirac eqaution with a oscillator potential. Details can be found here.
News-2021-12:
In our most recent research, we study the non-adiabatic dynamics of a typical symmetry-protected topological (SPT) phase-the Haldane insulator (HI) phase with broken bond-centered inversion.
Chain-breaking experiment of an open Haldane insulator
In this work, we find that one can find a critical regime where the entanglement measurement is relatively robust against perturbation that breaks the protecting symmetries in the HI. This is in contrast to the common belief that the SPT phases are fragile without the protecting symmetries.
The details of our research can be found here.
List of Projects and Talks:
Talks:
2023-05: 拓扑物态中的关联与纠缠效应(pdf)
project-2022-2023:
SU(n) realization of Haldane phase
iTEBD and related algorithms
Project-2020-2022:
thermodynamics of the Haldane insulator
dynamical protected topological states
Project-2019:
many-particle correlation
symmetry protected topological state