Dynamic transition of the density-matrix topology under parity-time symmetry
arXiv:2404.14776 · doi:10.1103/PhysRevB.110.155141
Abstract
Density-matrix topology, defined through the geometric property of the relevant modular Hamiltonian, can undergo transitions in the corresponding open-system dynamics. While symmetry considerations are crucial to ensure such a dynamic topological transition, we show that a hidden parity-time symmetry can further facilitate it. Considering the Lindbladian dynamics of a fermionic Gaussian state, we extract the time-evolved density-matrix topology from the single-particle correlation, whose dynamics is governed by a non-Hermitian damping matrix. We show that, for a parity-time symmetric damping matrix and a chiral symmetric correlation matrix, a dynamic transition in the density-matrix topology necessarily occurs in the parity-time unbroken regime where eigenvalues of the damping matrix are real. We illustrate our results using a concrete model, and map out the dynamic phase diagram.Remarkably, we find that the dynamic transition can also happen periodically in the parity-time symmetry broken regime.
9 pages, 2 figures
References in corpus (15)
- Making Sense of Non-Hermitian Hamiltonians
- Non-Hermitian Topology and Exceptional-Point Geometries
- Periodic Table for Topological Bands with Non-Hermitian Bernard-LeClair Symmetries
- Topological Non-Hermitian skin effect
- Quantum jumps in the non-Hermitian dynamics of a superconducting qubit
- Topology of density matrices
- Two-Dimensional Density-Matrix Topological Fermionic Phases: Topological Uhlmann Numbers
- Decoherence Induced Exceptional Points in a Dissipative Superconducting Qubit
- Dynamical Control of Quantum Heat Engines Using Exceptional Points
- Homotopy, Symmetry, and Non-Hermitian Band Topology
- Many-body non-Hermitian skin effect under dynamic gauge coupling
- Renyi Entropy Dynamics and Lindblad Spectrum for Open Quantum System
- Chiral state transfer under dephasing
- Symmetry-Preserving Quadratic Lindbladian and Dissipation Driven Topological Transitions in Gaussian States
- Topological characterization of one-dimensional open fermionic systems