Landau-Zener transitions in qubits controlled by electromagnetic fields
arXiv:cond-mat/0508156 · doi:10.1088/1367-2630/7/1/218
Abstract
We investigate the influence of a dipole interaction with a classical radiation field on a qubit during a continuous change of a control parameter. In particular, we explore the non-adiabatic transitions that occur when the qubit is swept with linear speed through resonances with the time-dependent interaction. Two classical problems come together in this model: the Landau-Zener and the Rabi problem. The probability of Landau-Zener transitions now depends sensitively on the amplitude, the frequency and the phase of the Rabi interaction. The influence of the static phase turns out to be particularly strong, since this parameter controls the time-reversal symmetry of the Hamiltonian. In the limits of large and small frequencies, analytical results obtained within a rotating-wave approximation compare favourably with a numerically exact solution. Some physical realizations of the model are discussed, both in microwave optics and in magnetic systems.
12 pages, 5 figures
References in corpus (24)
- Quantum Computation with Quantum Dots
- Electron transport through double quantum dots
- Driven quantum transport on the nanoscale
- Environment-independent decoherence rate in classically chaotic systems
- Quantum Computation by Adiabatic Evolution
- Photon-assisted transport in semiconductor nanostructures
- Coherent and Collective Quantum Optical Effects in Mesoscopic Systems
- Transition times in the Landau-Zener model
- Experimental implementation of an adiabatic quantum optimization algorithm
- Landau-Zener interferometry for qubits
- Fast noise in the Landau-Zener theory
- Observation of macroscopic Landau-Zener transitions in a superconducting device
- Photon-assisted tunneling in a Fe8 Single-Molecule Magnet
- Charge transport through quantum dots via time-varying tunnel couplings
- Incoherent Zener tunneling and its application to molecular magnets
- Landau-Zener tunneling in the presence of weak intermolecular interactions in a crystal of Mn4 single-molecule magnets
- Strong coupling theory for driven tunneling and vibrational relaxation
- Resonant photon absorption in the low spin molecule V15
- Nonadiabatic Electron Manipulation in Quantum-Dot Arrays
- Enhancement of Macroscopic Quantum Tunneling by Landau-Zener Transitions
- Nonadiabatic Transition Probabilities in the Presence of Strong Dissipation at an Avoided Level Crossing Point
- Noise effect on the nonadiabatic transition and correction to the tunneling energy gap estimated by the Landau-Zener-Stuckelberg formula
- Non-perturbative electron dynamics in crossed fields
- Dissipative Landau-Zener Tunneling at Marginal Coupling
Cited by in corpus (35)
- Landau-Zener-Stuckelberg interferometry
- Two-level systems driven by large-amplitude fields
- Nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, dynamics, and interference
- Quantum systems under frequency modulation
- Dissipative Landau-Zener transitions of a qubit: bath-specific and universal behavior
- Controllable coherent population transfers in superconducting qubits for quantum computing
- Decoherence in a scalable adiabatic quantum computer
- Quantum state preparation in circuit QED via Landau-Zener tunneling
- Landau-Zener tunneling in the presence of weak intermolecular interactions in a crystal of Mn4 single-molecule magnets
- Two-mode Bose-Einstein condensate in a high-frequency driving field that directly couples the two modes
- Effects of interference in the dynamics of spin-1/2 transverse XY Chain driven periodically through quantum critical points
- Fifteen classes of solutions of the quantum two-state problem in terms of the confluent Heun function
- Nonadiabatic Dynamics of a Dissipative Two-level System
- High fidelity all-optical control of quantum dot spins: detailed study of the adiabatic approach
- Finite-time Landau-Zener processes and counter-diabatic driving in open systems: beyond Born, Markov and Rotating-wave approximations
- Photon-assisted Landau-Zener transition: Role of coherent superposition states
- Nonlinear Landau-Zener Processes in a Periodic Driving Field
- Entanglement creation in circuit QED via Landau-Zener sweeps
- Robust adiabatic approach to optical spin entangling in coupled quantum dots
- Collapse and revivals of a the photon field in a many-body Landau-Zener process
- Landau-Zener transition in a two-level system coupled to a single highly-excited oscillator
- Engineering adiabaticity at an avoided crossing with optimal control
- Instantaneous coherent destruction of tunneling and fast quantum state preparation for strongly pulsed spin qubits in diamond
- Diagnosing Altermagnetic Phases through Quantum Oscillations
- Landau-Zener transition of a two-level system driven by spin chains near their critical points
- Tuning the initial phase to control the final state of a driven qubit
- Investigation of robust population transfer using quadratically chirped laser interacting with two-level system
- Photon-induced sideband transitions in a many-body Landau-Zener process
- Landau-Zener problem with waiting at the minimum gap and related quench dynamics of a many-body system
- Landau-Zener transitions in a fermionic dissipative environment
- Semiclassical Lattice effects on interband tunneling of a two-state system
- Kibble-Zurek scaling in the quantum Ising chain with a time-periodic perturbation
- Hidden facts in Landau-Zener transitions revealed by the Riccati Equation
- Elementary asymptotic approach to the Landau-Zener problem
- Counterdiabatic driving for random-gap Landau-Zener transitions