Berry's phase in Cavity QED: proposal for observing an effect of field quantization

Abstract

Geometric phases are well known in classical electromagnetism and quantum mechanics since the early works of Pantcharatnam and Berry. Their origin relies on the geometric nature of state spaces and has been studied in many different systems such as spins, polarized light and atomic physics. Recent works have explored their application in interferometry and quantum computation. Earlier works suggest how to observe these phases in single quantum systems adiabatically driven by external classical devices or sources, where, by classical, we mean any system whose state does not change considerably during the interaction time: an intense magnetic field interacting with a spin 1/2, or a birefringent medium interacting with polarized light. Here we propose a feasible experiment to investigate quantum effects in these phases, arising when this classical source drives not a single quantum system, but two interacting ones. In particular, we show how to observe a signature of field quantization through a vacuum effect in Berry's phase. To do so, we describe the interaction of an atom and a quantized cavity mode altogether driven by an external quasi-classical field.

3 pages, 3 figures

References in corpus (4)

• Controlled entanglement of two field modes in a Cavity Quantum Electrodynamics experiment
• Vacuum induced Spin-1/2 Berry phase
• Conditional large Fock state preparation and field state reconstruction in Cavity QED
• Measuring irreversible dynamics of a quantum harmonic oscillator

Cited by in corpus (15)

• Spin-1/2 geometric phase driven by decohering quantum fields
• Absence of Vacuum Induced Berry Phases without the Rotating Wave Approximation in Cavity QED
• Jahn-Teller systems from a cavity QED perspective
• Geometric phase in open systems: beyond the Markov approximation and weak coupling limit
• Universal and deterministic manipulation of the quantum state of harmonic oscillators: a route to unitary gates for Fock State qubits
• Influence of Stark-shift on quantum coherence and non-classical correlations for two two-level atoms interacting with a single-mode cavity field
• Berry's phase with quantized field driving: effects of inter-subsystem coupling
• Topological phase structure of entangled qudits
• Geometric phase in a dissipative Jaynes-Cummings model: theoretical explanation for resonance robustness
• Anyons and transmutation of statistics via vacuum induced Berry phase
• Vacuum induced Berry phases in single-mode Jaynes-Cummings models
• Control of the geometric phase and pseudo-spin dynamics on coupled Bose-Einstein condensates
• Nonadiabatic geometric phase induced by a counterpart of the Stark shift
• On the rotating wave approximation in the adiabatic limit
• Spontaneous and stimulated emission tuning characteristics of a Josephson junction in a microcavity