Solvable multistate model of Landau-Zener transitions in cavity QED

Abstract

We consider the model of a single optical cavity mode interacting with two-level systems (spins) driven by a linearly time-dependent field. When this field passes through values at which spin energy level splittings become comparable to spin coupling to the optical mode, a cascade of Landau-Zener (LZ) transitions leads to co-flips of spins in exchange for photons of the cavity. We derive exact transition probabilities between different diabatic states induced by such a sweep of the field.

12 pages, 9 figures

References in corpus (26)

• Dressed Collective Qubit States and the Tavis-Cummings Model in Circuit QED
• Assisted finite-rate adiabatic passage across a quantum critical point: Exact solution for the quantum Ising model
• Dissipative Landau-Zener transitions of a qubit: bath-specific and universal behavior
• Many-body Landau-Zener dynamics in coupled 1D Bose liquids
• Environment assisted speed-up of the field evolution in cavity QED
• Coherent Particle Transfer in an On-Demand Single-Electron Source
• Non-adiabacity and large flucutations in a many particle Landau Zener problem
• Quenching of dynamic nuclear polarization by spin-orbit coupling in GaAs quantum dots
• Many body generalization of the Landau Zener problem
• Quantum state preparation in circuit QED via Landau-Zener tunneling
• Exploring the quantum critical behaviour in a driven Tavis-Cummings circuit
• Landau-Zener tunnelling in dissipative circuit QED
• Dynamics of a many-particle Landau-Zener model: inverse sweep
• Solvable 4-state Landau-Zener model of two interacting qubits with path interference
• Exact results for models of multichannel quantum nonadiabatic transitions
• Exact transition probabilities in a six-state Landau-Zener system with path interference
• Quantum integrability in the multistate Landau-Zener problem
• 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
• Entanglement creation in circuit QED via Landau-Zener sweeps
• Fast Two-Qubit Gates in Semiconductor Quantum Dots using a Photonic Microcavity
• Molecular production at a wide Feshbach resonance in Fermi-gas of cooled atoms
• Interaction induced Landau-Zener transitions
• Forming doublons by a quantum quench
• Exact transition probabilities for a linear sweep through a Kramers-Kronig resonance

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• Constraints on scattering amplitudes in multistate Landau-Zener theory
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• Landau-Zener transitions and Adiabatic impulse approximation in an array of two Rydberg atoms with time-dependent detuning
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• Coherent reaction between molecular and atomic Bose-Einstein condensates: integrable model
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• Detuning-induced robustness of a three-state Lanzau-Zener model against dissipation
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• Three-state Landau-Zener model in the presence of dissipation
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• Parametric tuning of quantum phase transitions in ultracold reactions
• Generic theory of characterizing topological phases under quantum slow dynamics
• Probabilistic Hysteresis in an Isolated Quantum System: The Microscopic Onset of Irreversibility from a Quantum Perspective
• Dynamics of dissipative Landau-Zener transitions in an anisotropic three-level system
• Master equation approach to the three-state open Majorana model
• Kibble-Zurek scaling in the quantum Ising chain with a time-periodic perturbation
• Solution to a class of multistate Landau-Zener model beyond integrability conditions
• Knizhnik-Zamolodchikov equations and integrable hyperbolic Landau-Zener models
• Degenerate Landau-Zener model in the presence of quantum noise
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• Competing Bosonic Reactions: Insight from Exactly Solvable Time-Dependent Models
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• Efficient electron transfer in quantum dot chains controlled by a cubic detuning profile via shortcuts to adiabaticity