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Spin squeezing of a nonlinear interaction model with Josephson-like coupling is studied to obtain time scale of maximal squeezing. Based upon two exactly solvable cases for two and three particles, we find that the maximal-squeezing time…

Quantum Physics · Physics 2011-11-10 Guang-Ri Jin , Sang Wook Kim

We investigate spin dynamics of a two-component Bose-Einstein condensates with weak Josephson coupling. Analytical expressions of atom-number squeezing and bipartite entanglement are presented for atom-atom repulsive interactions. For…

Quantum Gases · Physics 2010-02-26 G. R. Jin , X. W. Wang , D. Li , Y. W. Lu

The evolution of an interacting two-component Bose-Einstein condensate from an initial phase state leads to a spin squeezed state that may be used in atomic clocks to increase the signal-to-noise ratio, opening the way to quantum metrology.…

Quantum Physics · Physics 2013-06-11 Alice Sinatra , Yvan Castin , Emilia Witkowska

We perform a multimode treatment of spin squeezing induced by interactions in atomic condensates, and we show that, at finite temperature, the maximum spin squeezing has a finite limit when the atom number $N\to \infty$ at fixed density and…

Quantum Physics · Physics 2015-06-03 Alice Sinatra , Emilia Witkowska , Yvan Castin

Dynamical evolution of quantum mechanical squeezing and entanglement in a two-mode Bose-Einstein condensate (TBEC) with an adiabatic, time-varying Raman coupling is studied by finding analytical expressions for these quantities. In…

Other Condensed Matter · Physics 2009-11-11 S. Choi , N. P. Bigelow

Efficient control of spin squeezing in a two-component Bose-Einstein Condensate is studied by rapidly turning-off the external field at a time that maximal spin squeezing appears. We show that strong reduction of spin fluctuation can be…

Quantum Physics · Physics 2011-11-10 Guang-Ri Jin , Sang Wook Kim

The problem of spin squeezing with a bimodal condensate in presence of particle losses is solved analytically by the Monte Carlo wavefunction method. We find the largest obtainable spin squeezing as a function of the one-body loss rate, the…

Quantum Physics · Physics 2009-11-13 Yun Li , Yvan Castin , Alice Sinatra

We consider dynamically generated spin squeezing in interacting bimodal condensates. We show that particle losses and non-zero temperature effects in a multimode theory completely change the scaling of the best squeezing for large atom…

Quantum Gases · Physics 2012-09-10 Alice Sinatra , Jean-Christophe Dornstetter , Yvan Castin

Quantum simulators built from ultracold atoms promise to study quantum phenomena in interacting many-body systems. However, it remains a challenge to experimentally prepare strongly correlated continuous systems such that the properties are…

We consider an ultracold bosonic binary mixture confined in a one-dimensional double-well trap. The two bosonic components are assumed to be two hyperfine internal states of the same atom. We suppose that these two components are spin-orbit…

Quantum Gases · Physics 2014-06-17 M. A. Garcia-March , G. Mazzarella , L. Dell'Anna , B. Juliá-Díaz , L. Salasnich , A. Polls

We consider the precise quantum state of two trapped, coupled Bose Einstein condensates in the two-mode approximation. We seek a representation of the state in terms of a Wigner-like distribution on the two-mode Bloch sphere. The problem is…

Condensed Matter · Physics 2009-10-30 M. J. Steel , M. J. Collett

Using parametric conversion induced by a Shapiro-type resonance, we produce and characterize a two-mode squeezed vacuum state in a sodium spin 1 Bose-Einstein condensate. Spin-changing collisions generate correlated pairs of atoms in the…

Quantum Gases · Physics 2020-07-27 An Qu , Bertrand Evrard , Jean Dalibard , Fabrice Gerbier

We study the effect of dipolar interactions on the level of squeezing in spin-1 Bose-Einstein condensates by using the single mode approximation. We limit our consideration to the $\mathfrak{su}(2)$ Lie subalgebra spanned by spin operators.…

Quantum Gases · Physics 2016-02-24 Dariusz Kajtoch , Emilia Witkowska

We show that, at finite temperature, the maximum spin squeezing achievable using interactions in Bose-Einstein condensates has a finite limit when the atom number $N\to \infty$ at fixed density and interaction strength. We calculate the…

Quantum Gases · Physics 2011-09-13 Alice Sinatra , Emilia Witkowska , Jean-Christophe Dornstetter , Yun Li , Yvan Castin

We present a detailed analysis of spin squeezing of the one-axis twisting model with a many-body phase dephasing, which is induced by external field fluctuation in a two-mode Bose-Einstein condensates. Even in the presence of the dephasing,…

Quantum Physics · Physics 2013-12-16 C. G. Ji , Y. C. Liu , G. R. Jin

We study the spin squeezing in a spin-1/2 Bose-Einstein condensates (BEC) with Raman induced spin-orbit coupling (SOC). Under the condition of two-photon resonance and weak Raman coupling strength, the system possesses two degenerate ground…

Quantum Gases · Physics 2020-08-26 Li Chen , Yunbo Zhang , Han Pu

We study the limitations for entanglement due to collisional decoherence in a Bose-Einstein condensate. Specifically we consider relative number squeezing between photons and atoms coupled out from a homogeneous condensate. We study the…

Quantum Physics · Physics 2009-11-07 T. Gasenzer

We examine the feasibility of creating and measuring large relative number squeezing in multicomponent trapped Bose-Einstein condensates. In the absence of multimode effects, this squeezing can be arbitrarily large for arbitrarily large…

Quantum Physics · Physics 2015-06-16 Mattias T Johnsson , Graham R Dennis , Joseph J Hope

We report an interaction that controls spin squeezing in a collection of spin 1/2 particles. We describe how spin squeezing can be generated and maintained in time. Our scheme can be applied to control the spin squeezing in a Bose…

Quantum Physics · Physics 2009-11-06 C. K. Law , H. T. Ng , P. T. Leung

The collisional interaction in a Bose condensate represents a non-linearity which in analogy with non-linear optics gives rise to unique quantum features. In this paper we apply a Monte Carlo method based on the positive P…

Quantum Physics · Physics 2009-11-07 Uffe V. Poulsen , Klaus Molmer
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