Counterintuitive transitions in the multistate Landau-Zener problem with linear level crossings

Abstract

We generalize the Brundobler-Elser hypothesis in the multistate Landau-Zener problem to the case when instead of a state with the highest slope of the diabatic energy level there is a band of states with an arbitrary number of parallel levels having the same slope. We argue that the probabilities of counterintuitive transitions among such states are exactly zero.

9 pages, 5 figures

References in corpus (2)

• Multiparticle Landau-Zener problem
• Counterintuitive transitions in multistate curve crossing involving linear potentials

Cited by in corpus (37)

• Dissipative Landau-Zener transitions of a qubit: bath-specific and universal behavior
• Gauging a quantum heat bath with dissipative Landau-Zener transitions
• Towards a Landau-Zener formula for an interacting Bose-Einstein condensate
• Quantum state preparation in circuit QED via Landau-Zener tunneling
• Fast quantum noise in Landau-Zener transition
• Solvable multistate model of Landau-Zener transitions in cavity QED
• Degenerate Landau-Zener model: Exact analytical solution
• Landau-Zener extension of the Tavis-Cummings model: structure of the solution
• The Quest for Solvable Multistate Landau-Zener Models
• Constraints on scattering amplitudes in multistate Landau-Zener theory
• Landau-Zener Transitions in Chains
• Solvable 4-state Landau-Zener model of two interacting qubits with path interference
• Exact transition probabilities in a six-state Landau-Zener system with path interference
• Exact results for models of multichannel quantum nonadiabatic transitions
• Counterintuitive transitions between crossing energy levels
• Multistate Landau-Zener models with all levels crossing at one point
• Landau-Zener transitions mediated by an environment: population transfer and energy dissipation
• Landau-Zener transition in a two-level system coupled to a single highly-excited oscillator
• Landau-Zener dynamics of a nanoresonator containing a tunneling spin
• Nonadiabatic transitions in Landau-Zener grids: integrability and semiclassical theory
• Adiabatic state preparation of interacting two-level systems
• Nonadiabatic transitions in exactly solvable quantum mechanical multichannel model: role of level curvature and counterintuitive behavior
• Many-body Landau-Zener Transition in Cold Atom Double Well Optical Lattices
• Effect of environmental spins on Landau-Zener transitions
• Loss of adiabaticity with increasing tunneling gap in non-integrable multistate Landau-Zener models
• Exact transition probabilities for a linear sweep through a Kramers-Kronig resonance
• Dynamic Symmetries and Quantum Nonadiabatic Transitions
• Counterdiabatic Hamiltonians for multistate Landau-Zener problem
• Landau-Zener transition between two levels coupled to continuum
• The model of a level crossing with a Coulomb band: exact probabilities of nonadiabatic transitions
• Exact transition probabilities in the three-state Landau-Zener-Coulomb model
• Solution to a class of multistate Landau-Zener model beyond integrability conditions
• Landau-Zener transition between two quantum dots coupled by resonant tunneling
• Derivation of the Landau-Zener formula via functional equations
• Effect of decay of the final states on the probabilities of the Landau-Zener transitions in multistate non-integrable models
• Landau-Zener transition with energy-dependent decay rate of the excited state
• Landau-Zener transitions through a pair of higher order exceptional points