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Chinese Journal of Quantum Electronics

Spin squeezing of Yurke-like state

Song-Song Li

Published Jan 1, 2013• 0 citations
OpenAlex

Abstract

The entangled property of Yurke-like state was investigated via spin squeezing.Since the Yurke-like state is superposed by a symmetric state and two special multi-particle states,the entangled property can be studied by investigating superposition coefficient and relative phase's influence on spin squeezing parameter.The analytical results for the optimal squeezed direction and optimal squeezing were obtained via extremum method.It's shown that the spin squeezing parameter monotonously changes with superposition coefficients and periodically changes with relative phase.It is also shown that the more the number of the particles is,the stronger the degree of squeezing will be.

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Coherent and squeezed photon states have attracted a lot attetion in long time ago, since these states can generate in laboratory. These states are satisfying in minimum uncertainty relation. In recently, states have generates with electrons by Bose-Einstein condensations and particles oscillations. Also,this states are satisfying in minimum uncertainty relation, with this difference that parameters in this states are the first and second moments of soin operators instead of position and momentum operators.The similarity phenomenon about squeezing photon is exist for spin with that distance. The source of spin squeezing in multi-qubit states is entanglement. One applecations of spin squeezing is to detect quantum entanglement which plays a key role in both the foundations of quantum physics and quantum computation processing. In recent years, spin squeezing stsate parameters have close relation with entanglement measure, concurrence, that we can characterize entanglement for a class of many-body spin- states. In reality, spin squeezing parameters are witnesse for many bode entanglement. In this paper; we study relation betweenspin squeezed states and entanglement. Then; we stuy the squeezing spin for -mode and -mode entangled coherent states.

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The entangled property of Yurke-like state was investigated via spin squeezing.Since the Yurke-like state is superposed by a symmetric state and two special multi-particle states,the entangled property can be studied by investigating superposition coefficient and relative phase's influence on spin squeezing parameter.The analytical results for the optimal squeezed direction and optimal squeezing were obtained via extremum method.It's shown that the spin squeezing parameter monotonously changes with superposition coefficients and periodically changes with relative phase.It is also shown that the more the number of the particles is,the stronger the degree of squeezing will be.
In this study we investigate the spin squeezing in superposition of a Biaxial state (Mallesh et al. in J. Phys. A, Math. Gen. 33:779-789, 2000 and Sirsi in Theoretical studies on spin distributions in external electric and magnetic fields, 1995) and Bell state. Numerical and analytical solutions for the length of mean spin, mean spin direction and spin squeezing are given. It is shown that both the mean spin direction and spin squeezing parameter are determined by the coefficients of superposition and the relative phase. © 2013 Springer Science+Business Media New York.
We study squeezing and entanglement in superposition of a class of nonlinear spin coherent states. We analyze these properties as a function of the coherence and superposition parameters, number of qubits and the Hamiltonians involved, by presenting analytical and numerical results. We specifically observe that a subclass of these states, the even non-linear cat states are maximally entangled and squeezed, while another related subclass, the odd non-linear cat states, are entangled but not squeezed at all.
Coherent and squeezed photon states have attracted a lot attetion in long time ago, since these states can generate in laboratory. These states are satisfying in minimum uncertainty relation. In recently, states have generates with electrons by Bose-Einstein condensations and particles oscillations. Also,this states are satisfying in minimum uncertainty relation, with this difference that parameters in this states are the first and second moments of soin operators instead of position and momentum operators.The similarity phenomenon about squeezing photon is exist for spin with that distance. The source of spin squeezing in multi-qubit states is entanglement. One applecations of spin squeezing is to detect quantum entanglement which plays a key role in both the foundations of quantum physics and quantum computation processing. In recent years, spin squeezing stsate parameters have close relation with entanglement measure, concurrence, that we can characterize entanglement for a class of many-body spin- states. In reality, spin squeezing parameters are witnesse for many bode entanglement. In this paper; we study relation betweenspin squeezed states and entanglement. Then; we stuy the squeezing spin for -mode and -mode entangled coherent states.