Work statistics in non-Hermitian evolutions with Hermitian endpoints
arXiv:2109.04693 · doi:10.1103/PhysRevE.104.034107
Abstract
Non-Hermitian systems with specific forms of Hamiltonians can exhibit novel phenomena. However, it is difficult to study their quantum thermodynamical properties. In particular, the calculation of work statistics can be challenging in non-Hermitian systems due to the change of state norm. To tackle this problem, we modify the two-point measurement method in Hermitian systems. The modified method can be applied to non-Hermitian systems which are Hermitian before and after the evolution. In Hermitian systems, our method is equivalent to the two-point measurement method. When the system is non-Hermitian, our results represent a projection of the statistics in a larger Hermitian system. As an example, we calculate the work statistics in a non-Hermitian Su-Schrieffer-Heeger model. Our results reveal several differences between the work statistics in non-Hermitian systems and the one in Hermitian systems.
arXiv comment12 pages, 4 figures
References in corpus (56)
- A nonequilibrium equality for free energy differences
- Thermalization and its mechanism for generic isolated quantum systems
- Nonequilibrium dynamics of closed interacting quantum systems
- Nonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities
- Edge states and topological invariants of non-Hermitian systems
- Topological phases of non-Hermitian systems
- Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
- Colloquium. Quantum Fluctuation Relations: Foundations and Applications
- Efficient Light Funneling based on the non-Hermitian Skin Effect
- Quantum Thermodynamic Cycles and quantum heat engines
- Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
- Fluctuation theorems: Work is not an observable
- Probing topological invariants in the bulk of a non-Hermitian optical system
- Observation of non-Hermitian degeneracies in a chaotic exciton-polariton billiard
- Second-Order Topological Phases in Non-Hermitian Systems
- Observation of parity-time symmetry breaking in a single spin system
- Fluctuation theorems for stochastic dynamics
- Geometrical meaning of winding number and its characterization of topological phases in one-dimensional chiral non-Hermitian systems
- Parity-time-symmetric quantum critical phenomena
- PT-Symmetry in Non-Hermitian Su-Schrieffer-Heeger model with complex boundary potentials
- Towards a theory of metastability in open quantum dynamics
- No-go theorem for the characterisation of work fluctuations in coherent quantum systems
- Heralded magnetism in non-Hermitian atomic systems
- Mixed-state evolution in the presence of gain and loss
- Quantum Heat Engines Using Superconducting Quantum Circuits
- Non-Reciprocal gain in non-Hermitian time-Floquet Systems
- Non-equilibrium quantum fluctuations of work
- Non-Hermitean Localization and De-Localization
- Entanglement and spin squeezing in non-Hermitian phase transitions
- Information-to-work conversion by Maxwell's demon in a superconducting circuit-QED system
- Topological non-Hermitian origin of surface Maxwell waves
- A Quantum Fluctuation Theorem
- Non-Hermitian Hamiltonians and no-go theorems in quantum information
- Shortcuts to adiabaticity for non-Hermitian systems
- Method for constructing shortcuts to adiabaticity by a substitute of counterdiabatic driving terms
- Full distribution of work done on a quantum system for arbitrary initial states
- Quantum critical behavior influenced by measurement backaction in ultracold gases
- Time Dependent -Symmetric Quantum Mechanics
- Exceptional Points in a Non-Hermitian Topological Pump
- Adiabaticity condition for non-Hermitian Hamiltonians
- Non-Hermitian shortcut to adiabaticity
- Kondo effect in a parity-time-symmetric non-Hermitian Hamiltonian
- Non-Hermitian shortcut to stimulated Raman adiabatic passage
- Path integral approach to quantum thermodynamics
- Jarzynski equality in -symmetric quantum mechanics
- Asymmetric transmission through a flux-controlled non-Hermitian scattering center
- Monitoring quantum Otto engines
- Quantum entropy of systems described by non-Hermitian Hamiltonians
- Non-Hermitian phase transition and eigenstate localization induced by asymmetric coupling
- Work distributions on quantum fields
- Non-Hermitian interferometer: Unidirectional amplification without distortion
- Inverse engineering rigorous adiabatic Hamiltonian for non-Hermitian system
- Dispersive readout of a weakly coupled qubit via the parity-time-symmetric phase transition
- Quantum Work Relations and Response Theory in -Symmetric Quantum Systems
- Quantum transport in non-Hermitian impurity array
- To Measure, or Not to Measure, That is the Question
Cited by in corpus (5)
- Constraining work fluctuations of non-Hermitian dynamics across the exceptional point of a superconducting qubit
- Work statistics and thermal phase transitions
- Entanglement transitions in the quantum Ising chain: A comparison between different unravelings of the same Lindbladian
- Short-time behavior of a system ruled by non-Hermitian time-dependent Hamiltonians
- Work Statistics and Quantum Trajectories: No-Click Limit and non-Hermitian Hamiltonians