Three-state Landau-Zener model in the presence of dissipation

Abstract

A population transfer based on adiabatic evolutions in a three-state system undergoing an avoided crossing is considered. The efficiency of the process is analyzed in connection with the relevant parameters, bringing to light an important role of the phases of the coupling constants. The role of dissipation is also taken into account, focusing on external decays that can be described by effective non-Hermitian Hamiltonians. Though the population transfer turns out to be quite sensitive to the decay processes, for very large decay rates the occurrence of a Zeno-phenomenon allows for restoring a very high efficiency.

References in corpus (35)

• Quantum Zeno subspaces
• Optical selection rules and phase-dependent adiabatic state control in a superconducting quantum circuit
• Adiabatic Quantum Computation in Open Systems
• Enhanced the thermal Entanglement in Anisotropy XYZ Heisenberg Chain
• Transition times in the Landau-Zener model
• Analytically solvable driven time-dependent two-level quantum systems
• Dissipative Landau-Zener transitions of a qubit: bath-specific and universal behavior
• Gauging a quantum heat bath with dissipative Landau-Zener transitions
• Landau-Zener transition in a multilevel system. An exact result
• The effect of spin-orbit interaction on entanglement of two-qubit Heisenberg XYZ systems in an inhomogeneous magnetic field
• Landau Zener transitions in a dissipative environment: Numerically exact results
• Nonlinear level crossing models
• Integrable time-dependent quantum Hamiltonians
• Robust gates for holonomic quantum computation
• Fast quantum noise in Landau-Zener transition
• Solvable multistate model of Landau-Zener transitions in cavity QED
• Degenerate Landau-Zener model: Exact analytical solution
• Stimulated Raman adiabatic passage in an open quantum system: Master equation approach
• Landau-Zener extension of the Tavis-Cummings model: structure of the solution
• Constraints on scattering amplitudes in multistate Landau-Zener theory
• Landau-Zener transitions in an open multilevel quantum system
• Landau-Zener Problem for Trilinear Hamiltonians
• Exact transition probabilities in a six-state Landau-Zener system with path interference
• Effective Landau-Zener transitions in circuit dynamical Casimir effect with time-varying modulation frequency
• Adiabatic Quantum Search in Open Systems
• Microscopic description of dissipative dynamics of a level crossing transition
• Quantum Zeno Subspaces induced by Temperature
• Multistate Landau-Zener models with all levels crossing at one point
• Classification of Parameter-Dependent Quantum Integrable Models, Their Parameterization, Exact Solution, and Other Properties
• Steering quantum transitions between three crossing energy levels
• A Class of Parameter Dependent Commuting Matrices
• Dynamics of a two-state system through a real level crossing
• The Role of Temperature in the occurrence of some Zeno Phenomena
• Interaction-free evolution in the presence of time-dependent Hamiltonians
• Steepest Entropy Ascent for Two-State Systems with Slowly Varying Hamiltonians

Cited by in corpus (10)

• Non-Hermitian Physics
• Bright and dark states of two distant macrospins strongly coupled by phonons
• Detuning-induced robustness of a three-state Lanzau-Zener model against dissipation
• Reservoir-engineering shortcuts to adiabaticity
• Dynamics of dissipative Landau-Zener transitions in an anisotropic three-level system
• Master equation approach to the three-state open Majorana model
• Short-time behavior of a system ruled by non-Hermitian time-dependent Hamiltonians
• Evanescent Wave Approximation for Non-Hermitian Hamiltonians
• Degenerate Landau-Zener model in the presence of quantum noise
• Open multistate Majorana model