Schrödinger-cat states in Landau-Zener-Stückelberg-Majorana interferometry: a multiple Davydov Ansatz approach

Abstract

Employing the time-dependent variational principle combined with the multiple Davydov ${\mathrm{D}}_2$ Ansatz, we investigate Landau-Zener (LZ) transitions in a qubit coupled to a photon mode with various initial photon states at zero temperature. Thanks to the multiple Davydov trial states, exact photonic dynamics taking place in the course of the LZ transition is also studied efficiently. With the qubit driven by a linear external field and the photon mode initialized with Schrödinger-cat states, asymptotic behavior of the transition probability beyond the rotating-wave approximation is uncovered for a variety of initial states. Using a sinusoidal external driving field, we also explore the photon-assisted dynamics of Landau-Zener-Stückelberg-Majorana interferometry. Transition pathways involving multiple energy levels are unveiled by analyzing the photon dynamics.

25 pages, 11 figures

References in corpus (22)

• Quantum Computing
• Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
• Single artificial-atom lasing
• Fault-tolerant linear optical quantum computing with small-amplitude coherent states
• Dissipative Landau-Zener transitions of a qubit: bath-specific and universal behavior
• Gauging a quantum heat bath with dissipative Landau-Zener transitions
• Non-perturbative stochastic method for driven spin-boson model
• Polaron dynamics with a multitude of Davydov D${}_2$ trial states
• Quantum state preparation in circuit QED via Landau-Zener tunneling
• Landau-Zener transitions in a two-level system coupled to a finite-temperature harmonic oscillator
• Landau-Zener tunnelling in dissipative circuit QED
• Effect of off-diagonal exciton-phonon coupling on intramolecular singlet fission
• Dynamics of dissipative Landau-Zener transitions
• Exact propagation of open quantum systems in a system-reservoir context
• Landau-Zener transition in a two-level system coupled to a single highly-excited oscillator
• Photon-assisted Landau-Zener transitions in a periodically driven Rabi dimer coupled to a dissipative mode
• Landau-Zener-Stückelberg Interferometry in dissipative Circuit Quantum Electrodynamics
• Detuning-induced robustness of a three-state Lanzau-Zener model against dissipation
• Optimizing adiabatic quantum pathways via a learning algorithm
• Dissipative dynamics in a tunable Rabi dimer with periodic harmonic driving
• Generation of Schrödinger cat states through photon-assisted Landau-Zener-Stückelberg interferometry
• Landau-Zener transitions in a fermionic dissipative environment

Cited by in corpus (8)

• Generalized Adiabatic Impulse Approximation
• Finite-Temperature Hole-Magnon Dynamics in an Antiferromagnet
• Modeling Molecular J and H Aggregates using Multiple-Davydov D2 Ansatz
• Exact WKB analysis for adiabatic discrete-level Hamiltonians
• Dynamics of dissipative Landau-Zener transitions in an anisotropic three-level system
• Landau-Zener without a Qubit: Unveiling Multiphoton Interference, Synthetic Floquet Dimensions, and Dissipative Quantum Chaos
• Thermalization of open quantum systems using the multiple-Davydov-D2 variational approach
• Photon-assisted Landau Zener transitions in a tunable driven Rabi dimer coupled to a micromechanical resonator