Adiabaticity condition for non-Hermitian Hamiltonians

Abstract

We generalize the concept of population for non-Hermitian systems in different ways and identify the one best suited to characterize adiabaticity. An approximate adiabaticity criterion consistent with this choice is also worked out. Examples are provided for different processes involving two-level atoms with decay.

References in corpus (6)

• Geometric Phase for Non-Hermitian Hamiltonians and Its Holonomy Interpretation
• General Adiabatic Evolution with a Gap Condition
• The role of the geometric phases in adiabatic populations tracking for non-hermitian hamiltonians
• Generalized relation between pulsed and continuous measurements in the quantum Zeno effect
• Comment on "Quantitative Condition is Necessary in Guaranteeing the Validity of the Adiabatic Approximation" [arXiv:1004.3100]
• Consistency between adiabatic and nonadiabatic geometric phases for nonselfadjoint hamiltonians

Cited by in corpus (49)

• Shortcuts to adiabaticity: concepts, methods, and applications
• General description of quasi-adiabatic dynamical phenomena near exceptional points
• Dynamical quantum phase transitions in non-Hermitian lattices
• Experimental observation of temporal pumping in electro-mechanical waveguides
• Method for constructing shortcuts to adiabaticity by a substitute of counterdiabatic driving terms
• Observation of non-Hermitian topology with non-unitary dynamics of solid-state spins
• Fast quasi-adiabatic dynamics
• Non-Hermitian shortcut to stimulated Raman adiabatic passage
• Consistency of PT-symmetric quantum mechanics
• Berry connection induced anomalous wave-packet dynamics in non-Hermitian systems
• Non-Hermitian tight-binding network engineering
• Accelerated and noise-resistant generation of a high-fidelity steady-state entanglement with Rydberg atoms
• High-Fidelity Entangled Bell States via Shortcuts to Adiabaticity
• Improving the stimulated Raman adiabatic passage via dissipative quantum dynamics
• Adiabatic edge-to-edge transformations in time-modulated elastic lattices and non-Hermitian shortcuts
• Non-Hermitian dynamics of slowly-varying Hamiltonians
• Adiabatic Decoherence-Free Subspaces and its Shortcuts
• Inverse engineering rigorous adiabatic Hamiltonian for non-Hermitian system
• Shortcuts to adiabaticity with general two-level non-Hermitian systems
• Pontryagin-Optimal Control of a non-Hermitian Qubit
• Nonlinear Non-Hermitian Landau-Zener-Stückelberg-Majorana interferometry
• Shortcuts to adiabaticity in non-Hermitian quantum systems without rotating-wave approximation
• Passage through exceptional point: Case study
• Invariant-based pulse design for three-level systems without the rotating-wave approximation
• Improving shortcuts to non-Hermitian adiabaticity for fast population transfer in open quantum systems
• Non-Hermitian time-dependent perturbation theory: asymmetric transitions and transitionless interactions
• Work statistics in non-Hermitian evolutions with Hermitian endpoints
• Quantum metric dependent anomalous velocity in systems subject to complex electric fields
• Shortcuts to adiabatic state transfer in time-modulated two-level non-Hermitian systems
• Effect of Poisson noise on adiabatic quantum control
• Two-dimensional phase-space picture of the photonic crystal Fano laser
• Biorthogonal topological charge pumping in non-Hermitian systems
• Universal quantum control by non-Hermitian Hamiltonian
• Oscillating potential well in complex plane and the adiabatic theorem
• Adiabatic-impulse approximation in non-Hermitian Landau-Zener Model
• Controllable multiple beam splitting in Hermitian and non-Hermitian symmetric coupled waveguide systems
• Non-Hermitian Generalization of Rayleigh-Schrödinger Perturbation Theory
• Optimal design of fast topological pumping
• Differences between quantum and classical adiabatic evolution
• Counterdiabatic driving for pseudo- and antipseudo- Hermitian systems
• Topological state permutations in time-modulated non-Hermitian multiqubit systems with suppressed non-adiabatic transitions
• Slow approach to adiabaticity in many-body non-Hermitian systems: the Hatano-Nelson Model
• Characterizing topological pumping of charges in exactly solvable Rice-Mele chains of the non-Hermitian variety
• Exploring the topology of a non-Hermitian superconducting qubit using shortcuts to adiabaticity
• A spectrum-based shortcut method for topological systems
• Universal quantum control over non-Hermitian continuous-variable systems
• Non-Hermitian magnetic moment
• Adiabatic Quantum Zeno Dynamics of Bosonic Atom Pairs with Large Inelastic Losses
• Hall conductance of a non-Hermitian two-band system with k-dependent decay rates