On the stability of the infinite Projected Entangled Pair Operator ansatz for driven-dissipative 2D lattices

Variational study of hard-core bosons in a 2-D optical lattice using Projected Entangled Pair States (PEPS)

We have studied the system of hard-core bosons on a 2-D optical lattice using a variational algorithm based on projected entangled-pair states (PEPS). We have investigated the ground state properties of the system as well as the responses of the system to sudden changes in the parameters. We have compared our results to mean field results based on a Gutzwiller ansatz.

手性驱动-耗散 Bose-Hubbard 模型中涌现的非厄米拓扑

Emerging Non-Hermitian Topology in a Chiral Driven-Dissipative Bose-Hubbard Model

本文提出手性驱动-耗散 Bose-Hubbard 模型，通过 Gaussian variational ansatz 证明非均匀驱动振幅可稳定稳态并消除边界效应，揭示了非平衡相图中由非厄米绕数表征的拓扑放大现象，为超导电路实现非厄米拓扑相提供了理论基础。

自适应投影变分量子动力学

Adaptive projected variational quantum dynamics

提出 Adaptive pVQD 算法，通过在时间演化中系统增长电路、无需辅助量子比特并支持并行门搜索，实现更精确的变分量子动力学模拟与硬件测量。

Solving the Liouvillian Gap with Artificial Neural Networks

We propose a machine-learning inspired variational method to obtain the Liouvillian gap, which plays a crucial role in characterizing the relaxation time and dissipative phase transitions of open quantum systems. By using the "spin bi-base mapping", we map the density matrix to a pure restricted-Boltzmann-machine (RBM) state and transform the Liouvillian superoperator to a rank-two non-Hermitian operator. The Liouvillian gap can be obtained by a variational real-time evolution algorithm under this non-Hermitian operator. We apply our method to the dissipative Heisenberg model in both one and t…

Photon-assisted Landau-Zener transitions in a periodically driven Rabi dimer coupled to a dissipative mode

We investigate multiple photon-assisted Landau-Zener (LZ) transitions in a hybrid circuit quantum electrodynamics device in which each of two interacting transmission-line resonators is coupled to a qubit, and the qubits are driven by periodic driving fields and also coupled to a common phonon mode. The quantum state of the entire composite system is modeled using the multi-$\rm D_2$ Ansatz in combination with the time-dependent Dirac-Frenkel variational principle. Applying a sinusoidal driving field to one of the qubits, this device is an ideal platform to study the photon-assisted LZ transit…