Constraints on scattering amplitudes in multistate Landau-Zener theory
arXiv:1609.06285 · doi:10.1103/PhysRevA.95.012140
Abstract
We derive a set of constraints, which we will call hierarchy constraints (HCs), on scattering amplitudes of an arbitrary multistate Landau-Zener model (MLZM). The presence of additional symmetries can transform such constraints into nontrivial relations between elements of the transition probability matrix. This observation can be used to derive complete solutions of some MLZMs or, for models that cannot be solved completely, to reduce the number of independent elements of the transition probability matrix.
arXiv comment16 pages, 12 figures, Phys. Rev. A (2017)
References in corpus (31)
- Dynamics of quantum phase transition: exact solution in quantum Ising model
- Assisted finite-rate adiabatic passage across a quantum critical point: Exact solution for the quantum Ising model
- The effects of nuclear spins on the quantum relaxation of the magnetization for the molecular nanomagnet Fe_8
- Nonadiabatic Landau Zener tunneling in Fe_8 molecular nanomagnets
- Dissipative Landau-Zener transitions of a qubit: bath-specific and universal behavior
- Many-body Landau-Zener dynamics in coupled 1D Bose liquids
- Gauging a quantum heat bath with dissipative Landau-Zener transitions
- Landau-Zener transition in a multilevel system. An exact result
- Coherent Particle Transfer in an On-Demand Single-Electron Source
- Landau Zener method to study quantum phase interference of Fe8 molecular nanomagnets
- Multiparticle Landau-Zener problem
- Solvable multistate model of Landau-Zener transitions in cavity QED
- Counterintuitive transitions in the multistate Landau-Zener problem with linear level crossings
- Quantum effects on curve crossing in a Bose-Einstein condensate
- Quantum integrability in systems with finite number of levels
- SU(3) Landau - Zener Interferometry
- Landau-Zener extension of the Tavis-Cummings model: structure of the solution
- Landau-Zener Transitions in Chains
- Solvable 4-state Landau-Zener model of two interacting qubits with path interference
- Quantum integrability in the multistate Landau-Zener problem
- Exact results for models of multichannel quantum nonadiabatic transitions
- Exact transition probabilities in a six-state Landau-Zener system with path interference
- Comment on "Exact results for survival probability in the multistate Landau-Zener model"
- Counterintuitive transitions between crossing energy levels
- Production efficiency of Feshbach molecules in fermion systems
- Non-equilibrium dynamics in Bose-Hubbard ladders
- Exact results for state-to-state transition probabilities in the multistate Landau-Zener model by non-stationary perturbation theory
- Phase diagram of Landau-Zener phenomena in coupled one-dimensional Bose quantum fluids
- Mott-insulator state of cold atoms in tilted optical lattices: doublon dynamics and multi-level Landau-Zener tunneling
- Non-adiabatic bulk-surface oscillations in driven topological insulators
- Dynamic Symmetries and Quantum Nonadiabatic Transitions
Cited by in corpus (19)
- Removing leakage-induced correlated errors in superconducting quantum error correction
- Integrable time-dependent quantum Hamiltonians
- The Quest for Solvable Multistate Landau-Zener Models
- Multistate Landau-Zener models with all levels crossing at one point
- Landau-Zener transitions and Adiabatic impulse approximation in an array of two Rydberg atoms with time-dependent detuning
- A large class of solvable multistate Landau-Zener models and quantum integrability
- Detuning-induced robustness of a three-state Lanzau-Zener model against dissipation
- Three-state Landau-Zener model in the presence of dissipation
- Loss of adiabaticity with increasing tunneling gap in non-integrable multistate Landau-Zener models
- Dynamical transitions in a modulated Landau-Zener model with finite driving fields
- Master equation approach to the three-state open Majorana model
- Counterdiabatic Hamiltonians for multistate Landau-Zener problem
- Intermittent emission of particles from a Bose-Einstein condensate in a one-dimensional lattice
- Solution to a class of multistate Landau-Zener model beyond integrability conditions
- Open multistate Majorana model
- Degenerate Landau-Zener model in the presence of quantum noise
- Competing Bosonic Reactions: Insight from Exactly Solvable Time-Dependent Models
- Graph-theoretical search for integrable multistate Landau-Zener models
- Simulations of Majorana spin flips in an antihydrogen trap