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Chinese Physics Letters

Generation of Superpositions of Squeezed Coherent States

Zheng Shi-Biao, Guo Guang-Can

Published Apr 1, 1997• 10 citations
Publisher

Abstract

A scheme to prepare superpositions of squeezed coherent states is presented. It involves an appropriately prepared atom crossing a high- Q cavity initially filled with a squeezed coherent field. After the nonresonant interaction with the cavity field the detection of the atomic state leaves the cavity field in a superposition of two squeezed coherent states.

DOI
10.1088/0256-307x/14/4/010

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A scheme to prepare superpositions of squeezed coherent states is presented. It involves an appropriately prepared atom crossing a high- Q cavity initially filled with a squeezed coherent field. After the nonresonant interaction with the cavity field the detection of the atomic state leaves the cavity field in a superposition of two squeezed coherent states.
A method is presented for generating highly squeezed states of a cavity field via the atom-cavity field interaction of the Raman type. In the scheme a sequence of three-level -type atoms interacts with a cavity field, displaced by a classical source, in a Raman manner. Then the atomic states are measured. By this way the cavity field may collapse onto a superposition of several coherent states, which exhibits strong squeezing. The scheme can also be used to prepare superpositions of many two-mode coherent states for two cavity fields. The coherent states in each mode are on a straight line. This is the first way for preparing multi-component entangled coherent states of this type in cavity QED.
The generation of nonclassical states of a radiation field has become increasingly important in the past years given its various applications in quantum communication. It has been recently proposed a way to engineer quantum states using a SQUID charge qubit inside a cavity with a controllable interaction between the cavity field and the charge qubit. Since decoherence is known to affect quantum effects uninterruptedly and decoherence process are working even when the quantum state is being formed, therefore, is interesting to envisage processes through which quantum superpositions are generated as fast as possible. We succeed in linearizing the Hamiltonian of the system through the application of an appropriate unitary transformation and for certain values of the parameters involved, we show that it is possible to obtain specific Hamiltonians. In this work we will use this approach for preparing superposition of two squeezed coherent states.
The generation of nonclassical states of a radiation field has become increasingly important in the past years given its various applications in quantum communication. It has been recently proposed a way to engineer quantum states using a SQUID charge qubit inside a cavity with a controllable interaction between the cavity field and the charge qubit. Since decoherence is known to affect quantum effects uninterruptedly and decoherence process are working even when the quantum state is being formed, therefore, is interesting to envisage processes through which quantum superpositions are generated as fast as possible. We succeed in linearizing the Hamiltonian of the system through the application of an appropriate unitary transformation and for certain values of the parameters involved, we show that it is possible to obtain specific Hamiltonians. In this work we will use this approach for preparing superposition of two squeezed coherent states.