Wave-packet Rabi oscillations from phase-space flow in mesoscopic cavity QED

Gat, Omri

doi:10.1103/physreva.77.050102

Cited by 4 publications

(4 citation statements)

References 17 publications

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“…The field-atom state evolves into a superposition of two products of a squeezed coherent state and an atomic state [2][3][4]. Expressing the Hamiltonian in terms of polariton number operator n, and the projections P ± on the ± subspaces [5],…”

Section: Atom-field-atom Interactionmentioning

confidence: 99%

“…After splitting, the atom-field system is highly entangled, but slow atomic state evolution turns the field-atom state again into a product state [3,4], and the field state is a superposition of two well-separated wave packets, sometimes called a Schrödinger cat state. This semiclassical dynamics can be described as a flow in a double phase space [5].…”

Section: Introductionmentioning

confidence: 99%

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Entanglement generation by interaction with semiclassical radiation

Leshem

Gat²

2011

Phys. Rev. A

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We address a fundamental issue in quantum mechanics and quantum information theory, the generation of an entangled pair of qubits that interact solely through a third, semiclassical degree of freedom, in the framework of cavity quantum electrodynamics. We show that finite, though not maximal, entanglement is obtainable in the classical limit, at the price of a diverging effective interaction time. The optimal atomic entanglement derives from a trade-off between the atomic entanglement in a sub-wave packet and the purity of the atomic state. Decoherence by photon loss sets an upper limit on the degree of excitation of the cavity mode, beyond which the achievable entanglement decreases as the inverse mean photon number to the sixth power.Comment: 6 pages, 4 figure

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Section: Atom-field-atom Interactionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Entanglement generation by interaction with semiclassical radiation

Leshem

Gat²

2011

Phys. Rev. A

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“…This is indeed the case for short times, where the field evolution is approximately classical and the qubit Rabi oscillates, but for longer times manifestly non-classical behavior takes place, including collapse-revival of the Rabi oscillations [6], and splitting of the electromagnetic field wave packet to create 'Schrödinger cat' states [7,8]. Nevertheless these effects can be understood and described with high accuracy using semi classical theories based on flow in generalized phase spaces [9,10].…”

Section: Introductionmentioning

confidence: 99%

“…Here we present a general semiclassical framework for the dynamics of a canonical degree of freedom coupled to a two-level system based on the Wigner-Weyl phase space representation with matrix-valued symbols [26]. Our theory is based on the propagation of matrix-valued phase-space symbols of smooth observables in the Heisenberg picture [9,26,27,28,29]. The symbols are expanded in the semiclassical small parameter ε, inversely proportional to the mean photon number, and a hierarchy of partial differential equations is obtained from the Heisenberg equations of motion.…”

Section: Introductionmentioning

confidence: 99%

Resonance phenomena in the interaction of a many-photon wave packet and a qubit

Gat

Lein

Teufel

2013

J. Phys. A: Math. Theor.

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We demonstrate that a highly excited quantum electromagnetic mode strongly interacting with a single qubit exhibits several distinct resonances in addition to the Bloch-Siegert resonance condition that arises in the interaction with classical radiation. The resonance phenomena are associated with non-classical effects: Collapse of Rabi oscillations, splitting of the photon wave packet, and field-qubit entanglement. The analysis is based on a semiclassical phase-space flow of 2-by-2 matrices and becomes exact when the photon number tends to infinity. The flow equations are solved perturbatively and numerically, showing that the resonant detuning of the field and qubit frequencies lie on two branches in the leading order, that further split into distinct curves in higher orders.

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Ground State of Jaynes–Cummings Model: Comparison of Solutions with and without the Rotating-Wave Approximation

Li¹,

Wang²,

Liu³

2009

Chinese Phys. Lett.

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The eigenenergy spectrum of the Jaynes-Cummings (JC) model with and without the rotating-wave approximation (RWA) is investigated. The numerical analysis indicates that the non-RWA spectrum can only be approximated by the RWA in the range of sufficiently small coupling constant and detuning. In other region, the counter-rotating terms remarkably change the nature of the RWA energy spectrum. A simple expression with high accuracy for ground eigenenergy and eigenvector for non-RWA is available. The ground eigenvector for non-RWA shows that the ground state is not a dark state and very different from that of RWA which is a dark state.

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Wave-packet Rabi oscillations from phase-space flow in mesoscopic cavity QED

Cited by 4 publications

References 17 publications

Entanglement generation by interaction with semiclassical radiation

Entanglement generation by interaction with semiclassical radiation

Resonance phenomena in the interaction of a many-photon wave packet and a qubit

Ground State of Jaynes–Cummings Model: Comparison of Solutions with and without the Rotating-Wave Approximation

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