Unconventional steady states and topological phases in an open two-level non-Hermitian system
arXiv:2004.03703 · doi:10.1088/1367-2630/ac69b2
Abstract
Decoherence and non-Hermiticity are two different effects of the open quantum systems. Both of them have triggered many interesting phenomena. In this paper, we theoretically study an open two-level non-Hermitian system coupling to a dissipative environment by solving the vectorized Lindblad equation. This scheme provides us a powerful framework to address widespread open systems with gain, loss and dissipation. Our results show that there exist a new class of exceptional points (EPs) and steady states due to the interplay between non-Hermiticity and decoherence. Furthermore, we also demonstrate new-type topological properties of eigenstates with zero real-part of eigenvalues () which are corresponding to Fermi arcs. It is revealed that the phases of eigenstates located in Fermi arcs regime have a topological phase which is totally unaffected by the dissipative environment. Our results provide a promising approach for further uncovering and understanding the intriguing properties of non-Hermitian open systems.
References in corpus (38)
- Nonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities
- Decoherence Free Subspaces for Quantum Computation
- Exceptional Topology of Non-Hermitian Systems
- The physics of exceptional points
- Symmetry and Topology in Non-Hermitian Physics
- Dynamically encircling exceptional points in a waveguide: asymmetric mode switching from the breakdown of adiabaticity
- Loss-induced suppression and revival of lasing
- Observation of Bulk Fermi Arc and Polarization Half Charge from Paired Exceptional Points
- Reversing the Pump-Dependence of a Laser at an Exceptional Point
- Quantum exceptional points of non-Hermitian Hamiltonians and Liouvillians: The effects of quantum jumps
- Symmetries and conserved quantities in Lindblad master equations
- Faster than Hermitian Quantum Mechanics
- Experimental realization of a Weyl exceptional ring
- Unification of Dynamical Decoupling and the Quantum Zeno Effect
- Exceptional rings in two-dimensional correlated systems with chiral symmetry
- The Chirality of Exceptional Points
- Observation of a Chiral State in a Microwave Cavity
- Hybrid-Liouvillian formalism connecting exceptional points of non-Hermitian Hamiltonians and Liouvillians via postselection of quantum trajectories
- Procedures for Converting among Lindblad, Kraus and Matrix Representations of Quantum Dynamical Semigroups
- Local PT symmetry violates the no-signaling principle
- Knotted Non-Hermitian Metals
- Non-Hermitian Topological Theory of Finite-Lifetime Quasiparticles: Prediction of Bulk Fermi Arc Due to Exceptional Point
- Non-Hermitian Hamiltonians and no-go theorems in quantum information
- Quantum sensing with a single-qubit pseudo-Hermitian system
- Quantum and semiclassical exceptional points of a linear system of coupled cavities with losses and gain within the Scully-Lamb laser theory
- On the uniqueness of the steady-state solution of the Lindblad-Gorini-Kossakowski-Sudarshan equation
- The Kibble-Zurek mechanism at exceptional points
- Exceptional points of the Lindblad operator of a two-level system
- Exact solution of time-dependent Lindblad equations with closed algebras
- Quantum correlations in -symmetric systems
- Non-Hermitian dynamics of slowly-varying Hamiltonians
- On the construction of non-Hermitian Hamiltonians with all-real spectra through supersymmetric algorithms
- Connecting dynamical quantum phase transitions and topological steady-state transitions by tuning the energy gap
- Non-Hermitian systems of Euclidean Lie algebraic type with real eigenvalue spectra
- No-signaling principle and Bell inequality in PT-symmetric quantum mechanics
- Eigenstates Transition Without Undergoing an Adiabatic Process
- Correlations in non-Hermitian systems and Diagram techniques for the steady state
- Topological Classificaton of Non-Hermitian Gapless Phases: Exceptional Points and Bulk Fermi Arcs