Photon-assisted Landau-Zener transitions in a periodically driven Rabi dimer coupled to a dissipative mode
arXiv:2101.02949 · doi:10.1063/5.0033545
Abstract
We investigate multiple photon-assisted Landau-Zener (LZ) transitions in a hybrid circuit quantum electrodynamics device in which each of two interacting transmission-line resonators is coupled to a qubit, and the qubits are driven by periodic driving fields and also coupled to a common phonon mode. The quantum state of the entire composite system is modeled using the multi- Ansatz in combination with the time-dependent Dirac-Frenkel variational principle. Applying a sinusoidal driving field to one of the qubits, this device is an ideal platform to study the photon-assisted LZ transitions by comparing the dynamics of the two qubits. A series of interfering photon-assisted LZ transitions take place if the photon frequency is much smaller than the driving amplitude. Once the two energy scales are comparable, independent LZ transitions arise and a transition pathway is revealed using an energy diagram. It is found that both adiabatic and nonadiabatic transitions are involved in the dynamics. Used to model environmental effects on the LZ transitions, the common phonon mode coupled to the qubits allows for more available states to facilitate the LZ transitions. An analytical formula is obtained to estimate the short-time phonon population and produces results in reasonable agreement with numerical calculations. Equipped with the knowledge of the photon-assisted LZ transitions in the system, we can precisely manipulate the qubit state and successfully generate the qubit dynamics with a square-wave pattern by applying driving fields to both qubits, opening up new venues to manipulate the states of qubits and photons in quantum information devices and quantum computers
References in corpus (44)
- Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
- Quantum Simulation
- A Quantum Engineer's Guide to Superconducting Qubits
- Quantum information processing with superconducting circuits: a review
- On the Integrability of the Rabi Model
- Landau-Zener-Stuckelberg interferometry
- Coherent dynamics of a flux qubit coupled to a harmonic oscillator
- Quantum information processing with circuit quantum electrodynamics
- Mach-Zehnder Interferometry in a Strongly Driven Superconducting Qubit
- Time-reversal symmetry breaking in circuit-QED based photon lattices
- Circuit QED lattices: towards quantum simulation with superconducting circuits
- A coherent beam splitter for electronic spin states
- The quantum Rabi model: solution and dynamics
- Observation of a Dissipation-Induced Classical to Quantum Transition
- Dissipative Landau-Zener transitions of a qubit: bath-specific and universal behavior
- Gauging a quantum heat bath with dissipative Landau-Zener transitions
- Atomic Landau-Zener tunneling in Fourier-synthesized optical lattices
- Non-equilibrium delocalization-localization transition of photons in circuit QED
- Fast, accurate simulation of polaron dynamics and multidimensional spectroscopy by multiple Davydov trial states
- Variational dynamics of the sub-Ohmic spin-boson model on the basis of multiple Davydov states
- Polaron dynamics with a multitude of Davydov D trial states
- Quantum state preparation in circuit QED via Landau-Zener tunneling
- Finite-temperature time-dependent variation with multiple Davydov states
- Cavity-Mediated Entanglement Generation Via Landau-Zener Interferometry
- Landau-Zener tunnelling in dissipative circuit QED
- Polaron dynamics with off-diagonal coupling: beyond the Ehrenfest approximation
- Dynamics of dissipative Landau-Zener transitions
- Effect of off-diagonal exciton-phonon coupling on intramolecular singlet fission
- Mirror, mirror: Landau-Zener-Stuckelberg-Majorana interferometry of a superconducting qubit in front of a mirror
- Photon-assisted Landau-Zener transition: Role of coherent superposition states
- Ground state properties of sub-Ohmic spin-boson model with simultaneous diagonal and off-diagonal coupling
- Landau-Zener-Stückelberg interference in a multimode electromechanical system in the quantum regime
- Entanglement creation in circuit QED via Landau-Zener sweeps
- Recurrent delocalization and quasi-equilibration of photons in coupled circuit QED systems
- Landau-Zener transition in a continuously measured single-molecule spin transistor
- Landau-Zener transitions and Adiabatic impulse approximation in an array of two Rydberg atoms with time-dependent detuning
- Qubit gates using hyperbolic secant pulses
- Dynamical Decoupling of Quantum Two-Level Systems by Coherent Multiple Landau-Zener Transitions
- Landau-Zener-Stückelberg Interferometry in dissipative Circuit Quantum Electrodynamics
- 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-Stueckelberg interferometry with driving fields in the quantum regime
- Engineering Photon Delocalization in a Rabi Dimer with a Dissipative Bath
- SU(3) Landau-Zener interferometry with a transverse periodic drive
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- Nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, dynamics, and interference
- Schrödinger-cat states in Landau-Zener-Stückelberg-Majorana interferometry: a multiple Davydov Ansatz approach
- Generalized Adiabatic Impulse Approximation
- Finite-Temperature Hole-Magnon Dynamics in an Antiferromagnet
- Partial Landau-Zener transitions and applications to qubit shuttling
- Nonparaxiality-triggered Landau-Zener transition in topological photonic waveguides
- Exact WKB analysis for adiabatic discrete-level Hamiltonians
- Dynamics of dissipative Landau-Zener transitions in an anisotropic three-level system
- A Davydov Ansatz approach to accurate system-bath dynamics in the presence of multiple baths with distinct temperatures
- Photon-assisted Landau Zener transitions in a tunable driven Rabi dimer coupled to a micromechanical resonator