Generation of Schrödinger cat states through photon-assisted Landau-Zener-Stückelberg interferometry

Abstract

Schrödinger cat states are useful for many applications, ranging from quantum information processing to high-precision measurements. In this paper we propose a conceptually new method for creating such cat states, based on photon-assisted Landau-Zener-Stückelberg interferometry in a hybrid system consisting of a qubit coupled to a photon cavity. We show that by initializing the qubit in one of its basis states, performing three consecutive sweeps of the qubit energy splitting across the 1-photon resonance, and finally projecting the qubit to the same basis state, the parity of the photon field can be purified to very high degree; when the initial photon state is a coherent state, the final state will then be very close to a Schrödinger cat state. We present numerical simulations that confirm that our protocol could work with high fidelity ($\sim 0.99$) for coherent states of reasonable size ($|\alpha {|}^2\sim 10$). Furthermore, we suggest that our protocol can also be used to transfer quantum information between the qubit and a superposition of orthogonal cat states in the cavity.

8 pages, 5 figures; Minor changes with respect to the previous version

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Cited by in corpus (9)

• Nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, dynamics, and interference
• Photon-assisted Landau-Zener transitions in a periodically driven Rabi dimer coupled to a dissipative mode
• Schrödinger-cat states in Landau-Zener-Stückelberg-Majorana interferometry: a multiple Davydov Ansatz approach
• Generalized Adiabatic Impulse Approximation
• Non-Markovian environment induced Schrödinger cat state transfer in an optical Newton's cradle
• Exact WKB analysis for adiabatic discrete-level Hamiltonians
• Landau-Zener without a Qubit: Unveiling Multiphoton Interference, Synthetic Floquet Dimensions, and Dissipative Quantum Chaos
• Parity-Swap State Comparison Amplifier for Schrödinger Cat States
• The time-domain Landau-Zener-Stuckelberg-Majorana interference in optical lattice clock