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Acta Sinica Quantum Optica

Evolution Laws of the V-type Three-level Atoms Interacting with Two Mode Cavity Field and Generation of Schrdinger cat states

Hong-Yi Dai

Published Jan 1, 2002• 0 citations
OpenAlex

Abstract

Interaction of a V-type three-level atom with two mode fields is studied in detail. Under large-detuning condition, the ground state can be adiabatically eliminated, i.e., this model may be converted into a non-degenerate Raman coupled model which an effective two-level atom interacts with two mode cavity fields. We derive the modified effective Hamiltonian and their wave functions of both non-degenerate Raman coupled and a degenerate Raman coupled model respectively. Based on state-selective measurements on V-type three-level atoms crossing the cavity, We present a new scheme of generation of Schrdinger cat states which are made up of superposition of the coherent states with controllable weighting factors and phases, through Raman interaction of degenerate V-type three atoms with one cavity field.

Related papers

Interaction of a Λ-type three-level atom with a two-mode field and a two-mode Raman-coupled model

Zhang Zhi-ming, Lin-sheng He, Zhou Shi-kang

The Hamiltonian is derived for the interaction of a Λ-type three-level atom with a two-mode quantum cavity field from the general interaction Hamiltonian between a multi-level atom and a multi-mode radiation field, and it is reduced to an effective two-mode Raman-coupled model under a large detuning condition. We propose a modified effective Hamiltonian for the two-mode Raman-coupled model, find the time-dependent state vectors, and present the validity conditions for the involved interaction Hamiltonians. It is shown that in the study of the two-mode Raman-coupled model it is not enough to retain only the usually used effective Hamiltonian, one must also take into account the ac Stark shift of the atomic levels (at least one of the levels). Finally, we study the atomic dynamics in the interaction of a Λ-type three-level atom with a two-mode quantum cavity field and in the two-mode Raman-coupled model. We find that the number of collapse-revivals, the collapse time and the revival time show new characteristics.

Acta Physica Sinica (Overseas Edition)•Feb 1, 1999•1 citation

Efficient Scheme for the Generation of Atomic Schr?dinger Cat States in an Optical Cavity

Zheng Zheng, Shi-Biao

An efficient scheme is proposed for the generation of atomic Schrodinger cat states in an optical cavity. Inthe scheme N three-level atoms are loaded in the optical cavity. Raman coupling of two ground states is achieved via alaser field and the cavity mode. The cavity mode is always in the vacuum state and the atoms have no probability ofbeing populated in the excited state. Thus, the scheme is insensitive to both the cavity decay and spontaneous emission. Keywords：atomic Schrodinger cat state, optical cavity, three-level atom

理论物理通讯：英文版•Jan 1, 2003•0 citations

Dynamics of a Raman coupled model: Entanglement and quantum computation

Jonas Larson, B. M. Garraway

The evolution of a Raman coupled three-level A atom with two quantized cavity modes is studied in the large detuning case; i.e. when the upper atomic level can be adiabatically eliminated. Particularly the situation when the two modes are prepared in initial coherent or squeezed states, with a large average number of photons, is investigated. It is found that the atom, after specific interaction times, disentangles from the two modes, leaving them, in certain cases, in entangled Schrödinger cat states. These disentanglement times can be controlled by adjusting the ratio between average numbers of photons in the two modes. It is also shown how this effective model may be used for implementing quantum information processing. Especially it is demonstrated how to generate various entangled states, such as EPR and GHZ states, and quantum logic operations, such as the control-not and the phase gate.

arXiv:quant-ph/0411090•Journal of Modern Optics•Jun 18, 2004•15 citations

A scheme for the generation of multi-mode Schrödinger cat states

Shi-Biao Zheng

A scheme is proposed for the generation of superpositions of multi-mode coherent states, i.e. multi-mode Schrödinger cat states. In the scheme a -type three-level atom is sent through many cavities filled with coherent fields. The whole system is entangled via the Raman atom-field interaction. Then the detection of the atom leaves the cavity system in a multi-mode cat state. Under certain conditions, such a cat state is identical to a Greenberger-Horne-Zeilinger state and thus can be used to test local realistic theories.

Quantum and Semiclassical Optics Journal of the European Optical Society Part B•Oct 1, 1998•29 citations

Generation of Superpositions of Coherent States Along a Straight Line via Raman Interaction

Zhen‐Biao Yang

We present an alternative scheme for preparing the superpositions of coherent states along a straight line of a cavity field using degenerate atom-cavity field Raman interaction. In the scheme, a collection of Λ-type three-level atoms is orderly sent through the cavity to interact with the cavity field adjusted by a microwave source connected to it, followed by state-selective measurements. In this way, we can prepare the superpositions of several coherent states along a straight line with arbitrary weighting factors for the cavity field. In the scheme, the coherence of the atom-cavity system may be maintained and the second microwave field is unnecessary, which is prior to the previous scheme.

Communications in Theoretical Physics•Dec 1, 2005•1 citation

Teleportation of Superposition-coherent States of Cavity-field Via the Raman-interaction of V-type Three-level Atom with cavity-field

Gong Ren-shan

A scheme is proposed for the teleportation of a unknown superposition-state of coherent-states via Raman interaction of a degenerate V-type three-level atom with cavity-field.

Journal of Nanchang University•Jan 1, 2007•0 citations
Interaction of a V-type three-level atom with two mode fields is studied in detail. Under large-detuning condition, the ground state can be adiabatically eliminated, i.e., this model may be converted into a non-degenerate Raman coupled model which an effective two-level atom interacts with two mode cavity fields. We derive the modified effective Hamiltonian and their wave functions of both non-degenerate Raman coupled and a degenerate Raman coupled model respectively. Based on state-selective measurements on V-type three-level atoms crossing the cavity, We present a new scheme of generation of Schrdinger cat states which are made up of superposition of the coherent states with controllable weighting factors and phases, through Raman interaction of degenerate V-type three atoms with one cavity field.
The Hamiltonian is derived for the interaction of a Λ-type three-level atom with a two-mode quantum cavity field from the general interaction Hamiltonian between a multi-level atom and a multi-mode radiation field, and it is reduced to an effective two-mode Raman-coupled model under a large detuning condition. We propose a modified effective Hamiltonian for the two-mode Raman-coupled model, find the time-dependent state vectors, and present the validity conditions for the involved interaction Hamiltonians. It is shown that in the study of the two-mode Raman-coupled model it is not enough to retain only the usually used effective Hamiltonian, one must also take into account the ac Stark shift of the atomic levels (at least one of the levels). Finally, we study the atomic dynamics in the interaction of a Λ-type three-level atom with a two-mode quantum cavity field and in the two-mode Raman-coupled model. We find that the number of collapse-revivals, the collapse time and the revival time show new characteristics.
An efficient scheme is proposed for the generation of atomic Schrodinger cat states in an optical cavity. Inthe scheme N three-level atoms are loaded in the optical cavity. Raman coupling of two ground states is achieved via alaser field and the cavity mode. The cavity mode is always in the vacuum state and the atoms have no probability ofbeing populated in the excited state. Thus, the scheme is insensitive to both the cavity decay and spontaneous emission. Keywords：atomic Schrodinger cat state, optical cavity, three-level atom
The evolution of a Raman coupled three-level A atom with two quantized cavity modes is studied in the large detuning case; i.e. when the upper atomic level can be adiabatically eliminated. Particularly the situation when the two modes are prepared in initial coherent or squeezed states, with a large average number of photons, is investigated. It is found that the atom, after specific interaction times, disentangles from the two modes, leaving them, in certain cases, in entangled Schrödinger cat states. These disentanglement times can be controlled by adjusting the ratio between average numbers of photons in the two modes. It is also shown how this effective model may be used for implementing quantum information processing. Especially it is demonstrated how to generate various entangled states, such as EPR and GHZ states, and quantum logic operations, such as the control-not and the phase gate.
A scheme is proposed for the generation of superpositions of multi-mode coherent states, i.e. multi-mode Schrödinger cat states. In the scheme a -type three-level atom is sent through many cavities filled with coherent fields. The whole system is entangled via the Raman atom-field interaction. Then the detection of the atom leaves the cavity system in a multi-mode cat state. Under certain conditions, such a cat state is identical to a Greenberger-Horne-Zeilinger state and thus can be used to test local realistic theories.
We present an alternative scheme for preparing the superpositions of coherent states along a straight line of a cavity field using degenerate atom-cavity field Raman interaction. In the scheme, a collection of Λ-type three-level atoms is orderly sent through the cavity to interact with the cavity field adjusted by a microwave source connected to it, followed by state-selective measurements. In this way, we can prepare the superpositions of several coherent states along a straight line with arbitrary weighting factors for the cavity field. In the scheme, the coherence of the atom-cavity system may be maintained and the second microwave field is unnecessary, which is prior to the previous scheme.