Landau-Zener transitions in a two-level system coupled to a finite-temperature harmonic oscillator

Abstract

We analyze the dynamics and final populations in a Landau-Zener problem for a two level system (or qubit) when this system interacts with one harmonic oscillator mode that is initially set to a finite-temperature thermal equilibrium state. The harmonic oscillator could represent an external mode that is strongly coupled to the qubit, e.g. an ionic oscillation mode in a molecule, or it could represent a prototypical uncontrolled environment. We analyze the qubit's occupation probabilities at the final time in a number of different regimes, varying the qubit and oscillator frequencies, their coupling strength and the temperature. In particular we find some surprising non-monotonic dependence on the coupling strength and temperature.

arXiv comment7 pages (two-column), 6 figures

References in corpus (25)

• A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Problem
• Landau-Zener-Stuckelberg interferometry
• Qubit-oscillator systems in the ultrastrong-coupling regime and their potential for preparing nonclassical states
• Two-level systems driven by large-amplitude fields
• Adiabatic Quantum Computation in Open Systems
• Superradiance transition in a system with a single qubit and a single oscillator
• Amplitude Spectroscopy of a Solid-State Artificial Atom
• Dissipative Landau-Zener transitions of a qubit: bath-specific and universal behavior
• Gauging a quantum heat bath with dissipative Landau-Zener transitions
• Thermally assisted adiabatic quantum computation
• Landau Zener transitions in a dissipative environment: Numerically exact results
• Decoherence in a scalable adiabatic quantum computer
• Decoherence in adiabatic quantum computation
• Fast noise in the Landau-Zener theory
• Role of Single Qubit Decoherence Time in Adiabatic Quantum Computation
• Observation of Time-domain Rabi Oscillations in the Landau-Zener Regime with a Single Electronic Spin
• Fast quantum noise in Landau-Zener transition
• Landau-Zener tunnelling in dissipative circuit QED
• Amplitude spectroscopy of two coupled qubits
• Nonadiabatic Dynamics of a Dissipative Two-level System
• Landau-Zener Transitions in an Adiabatic Quantum Computer
• Competition between relaxation and external driving in the dissipative Landau-Zener problem
• Landau-Zener transitions mediated by an environment: population transfer and energy dissipation
• Noise effect on the nonadiabatic transition and correction to the tunneling energy gap estimated by the Landau-Zener-Stuckelberg formula
• Dissipative Landau-Zener level crossing subject to continuous measurement: Excitation despite decay

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• Landau-Zener-Stückelberg interference in a multimode electromechanical system in the quantum regime
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• Dynamical transitions in a modulated Landau-Zener model with finite driving fields
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• Interferometry of multi-level systems: rate-equation approach for a charge qudit
• Controlling qubit-oscillator systems using linear parameter sweeps
• Landau-Zener transition between two levels coupled to continuum
• Kibble-Zurek scaling in the quantum Ising chain with a time-periodic perturbation
• Improving quantum annealing by engineering the coupling to the environment
• Generation, dynamical buildup and detection of bi- and mulipartite entangled states in cavity systems
• Nonadiabatic transition at a band-touching point
• Effect of decay of the final states on the probabilities of the Landau-Zener transitions in multistate non-integrable models
• Two coupled qubits under the influence of a minimal, phase-sensitive environment