Effective non-Hermitian physics for degenerate ground states of a nonHermitian Ising model with symmetry
arXiv:2003.10099 · doi:10.1209/0295-5075/128/41001
Abstract
In this paper, based on a one-dimensional non-Hermitian spin model with -invariant term, we study the non-Hermitian physics for the two (nearly) degenerate ground states. By using the high-order perturbation method, an effective pseudo-spin model is obtained to describe non-Hermitian physics for the two (nearly) degenerate ground states, which are precisely consistent with the numerical calculations. We found that there may exist effective (anti) symmetry for the effective pseudo-spin model of the two (nearly) degenerate ground states. In particular, there exists spontaneous (anti) -symmetry breaking for the topological degenerate ground states with tunable parameters in external fields. We also found that even a very tiny imaginary external field applied will drive phase transition.
References in corpus (18)
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Making Sense of Non-Hermitian Hamiltonians
- Nonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities
- Complex Extension of Quantum Mechanics
- Observation of parity-time symmetry breaking transitions in a dissipative Floquet system of ultracold atoms
- Anti-Parity-Time Symmetric Optics via Flying Atoms
- Observation of parity-time symmetry breaking in a single spin system
- Observation of Parity-Time Symmetry in Optically Induced Atomic Lattices
- PT symmetry and spontaneous symmetry breaking in a microwave billiard
- Observation of Asymmetric Transport in Structures with Active Nonlinearities
- PT-symmetry with a system of three-level atoms
- Antisymmetric PT-photonic structures with balanced positive and negative index materials
- PT Symmetry on the Lattice: The Quantum Group Invariant XXZ Spin-Chain
- Spontaneous PT symmetry breaking and quantum phase transitions in dimerized spin chains
- Non-Hermitian anisotropic XY model with intrinsic rotation-time reversal symmetry
- Chern number in Ising models with spatially modulated real and complex fields
- Macroscopic Quantum Tunneling Effect of Z2 Topological Order
- Realization of Topological Quantum Computation with surface codes
Cited by in corpus (6)
- Biorthogonal quantum criticality in non-Hermitian many-body systems
- Emergent phase transition in Cluster Ising model with dissipation
- Dynamic magnetization in non-Hermitian quantum spin system
- High-order series expansion of non-Hermitian quantum spin models
- Quantum phase transition in a non-Hermitian XY spin chain with global complex transverse field
- Rotation-time symmetry in bosonic systems and the existence of exceptional points in the absence of symmetry