Liouvillian exceptional points of an open driven two-level system
arXiv:2401.04011 · doi:10.1063/5.0177714
Abstract
We study the applicability of the Liouvillian exceptional points (LEPs) approach to nanoscale open quantum systems. A generic model of the driven two-level system in a thermal environment is analyzed within the nonequilibrium Green's function (NEGF) and Bloch quantum master equation (QME) formulations. We derive the latter starting from the exact NEGF Dyson equations and highlight the qualitative limitations of the LEP treatment by examining the approximations employed in its derivation. We find that non-Markov character of evolution in open quantum systems does not allow for the introduction of the concept of exceptional points for a description of their dynamics. Theoretical analysis is illustrated with numerical simulations.
arXiv comment11 pages, 4 figures
References in corpus (36)
- The physics of exceptional points
- Dynamically encircling exceptional points in a waveguide: asymmetric mode switching from the breakdown of adiabaticity
- Observation of non-Hermitian degeneracies in a chaotic exciton-polariton billiard
- Quantum exceptional points of non-Hermitian Hamiltonians and Liouvillians: The effects of quantum jumps
- Observation of parity-time symmetry breaking in a single spin system
- Quantum state tomography across the exceptional point in a single dissipative qubit
- Observation of an exceptional point in a chaotic optical microcavity
- A review of progress in the physics of open quantum systems: theory and experiment
- Levels of self-consistency in the GW approximation
- Hybrid-Liouvillian formalism connecting exceptional points of non-Hermitian Hamiltonians and Liouvillians via postselection of quantum trajectories
- Quantum jumps in the non-Hermitian dynamics of a superconducting qubit
- Decoherence Induced Exceptional Points in a Dissipative Superconducting Qubit
- Operator (quasi-)similarity, quasi-Hermitian operators and all that
- Non-Hermitian engineering of terahertz light using exceptional points in electrically tuneable collective light-matter interactions
- Transport in molecular states language: Generalized quantum master equation approach
- Projective Hilbert space structures at exceptional points
- Observation of Exceptional Points in Thermal Atomic Ensembles
- Polariton Localization and Dispersion Properties of Disordered Quantum Emitters in Multimode Microcavities
- Liouvillian exceptional points of any order in dissipative linear bosonic systems: Coherence functions and switching between and anti- symmetries
- Phonon heat transport in cavity-mediated optomechanical nanoresonators
- Unusual Dynamical Properties of Disordered Polaritons in Micocavities
- Signatures of Liouvillian exceptional points in a quantum thermal machine
- Enhancement of quantum heat engine by encircling a Liouvillian exceptional point
- Speeding up entanglement generation by proximity to higher-order exceptional points
- A self-consistent quantum master equation approach to molecular transport
- Exceptional points of the Lindblad operator of a two-level system
- Exceptional points for parameter estimation in open quantum systems: Analysis of the Bloch equations
- Unveiling the Enhancement of Spontaneous Emission at Exceptional Points
- Optimized Steering: Quantum State Engineering and Exceptional Points
- Robust mode conversion in NV centers using exceptional points
- Analysis technique for exceptional points in open quantum systems and QPT analogy for the appearance of irreversibility
- Harmonic inversion analysis of exceptional points in resonance spectra
- The effect of thermal photons on exceptional points in coupled resonators
- Exceptional points and exponential sensitivity for periodically driven Lindblad equations
- Exceptional points treatment of cavity spectroscopies
- Liouvillian exceptional points in continuous variable system
Cited by in corpus (5)
- Nonlinear optical spectroscopy of open quantum systems
- Control of open quantum systems: Manipulation of a qubit coupled to a thermal bath by an external driving field
- Characterizing Liouvillian Exceptional Points Through Newton Polygons and Tropical Geometry
- Non-equilibrium Dynamics of Three-Level Absorption Refrigerator at Third-Order Liouvillian Exceptional Points
- Quantum Statistical Mechanics of Electronically Open Molecules: Reduced Density Operators