Optimum Spin Squeezing in Bose-Einstein Condensates with Particle Losses

Li, Yun; Castin, Yvan; Sinatra, Alice

doi:10.1103/physrevlett.100.210401

Cited by 128 publications

(159 citation statements)

References 18 publications

Supporting

Mentioning

155

Contrasting

Unclassified

Order By: Relevance

“…This was the case of the famous experiments showing the quantum jumps [19]. The stochastic evolution was successfully applied in the study of the decoherence in BEC [20,21] and the interference of two Fock states [22]. Recently, the quantum jumps trajectories (generated in the frame of the large deviation method) turned out to be very useful for studying the phase transitions [23].…”

Section: Decoherencementioning

confidence: 99%

Revivals in an attractive Bose-Einstein condensate in a double-well potential and their decoherence

Pawłowski¹,

Ziń²,

Rza̧żewski³

et al. 2011

Phys. Rev. A

View full text Add to dashboard Cite

We study the dynamics of ultracold attractive atoms in a weakly linked two potential wells. We consider an unbalanced initial state and monitor dynamics of the population difference between the two wells. The average imbalance between wells undergoes damped oscillations, like in a classical counterpart, but then it revives almost to the initial value. We explain in details the whole behavior using three different models of the system. Furthermore we investigate the sensitivity of the revivals on the decoherence caused by one-and three-body losses. We include the dissipative processes using appropriate master equations and solve them using the stochastic wave approximation method.

show abstract

Section: Decoherencementioning

confidence: 99%

Revivals in an attractive Bose-Einstein condensate in a double-well potential and their decoherence

Pawłowski¹,

Ziń²,

Rza̧żewski³

et al. 2011

Phys. Rev. A

View full text Add to dashboard Cite

show abstract

“…We want to explore if increased particle correlations among the photons can be found with the increasing anharmonicity parameter g in regimes of sub-Poisson statistics. To characterize particle entanglement, we use spin squeezing parameter [23,24], generalized to the case of dissipation, [44] defined to be…”

Section: Resultsmentioning

confidence: 99%

Quantum coherence and correlations of optical radiation by atomic ensembles interacting with a two-level atom in a microwave cavity

Müstecaplıoğlu

2011

Phys. Rev. A

View full text Add to dashboard Cite

We examine quantum statistics of optical photons emitted from atomic ensembles which are classically driven and simultaneously coupled to a two-level atom via microwave photon exchange. Quantum statistics and correlations are analyzed by calculating second order coherence degree, von Neumann entropy, spin squeezing for multi-particle entanglement, as well as genuine two and threemode entanglement parameters for steady state and non-equilibrium situations. Coherent transfer of population between the radiation modes and quantum state mapping between the two-level atom and the optical modes are discussed. A potential experimental realization of the theoretical results in a superconducting coplanar waveguide resonator containing diamond crystals with Nitrogen-Vacancy color centers and a superconducting artificial two-level atom is discussed.

show abstract

“…To generate the spin squeezing and the QFI, one-axis twisting model and two-axis model are studied widely [14,[16][17][18][19][20][21]. As a natural supplement, we check ξ 2 1 , 1/(2 − ξ 2 1 ) and χ 2 of two-qubit system in the one-axis twisting model with three arbitrary external transverse fields…”

Section: Proposition 1 For An Arbitrary Symmetric State Of Pair Qubitsmentioning

confidence: 99%

“…On the other hand, both the QFI and the spin squeezing are connected to the spin fluctuation and the entanglement [14][15][16][17][18][19][20]22]. The spin squeezing refers to the minimum spin fluctuation of the plane perpendicular to the mean spin direction, and for pure states, the maximal QFI refers to the maximal spin fluctuation over all directions.…”

Section: Introductionmentioning

confidence: 99%

Quantum Fisher Information in Two-Qubit Pure States

Liu

Zhang

2010

Int J Theor Phys

View full text Add to dashboard Cite

In terms of quantum Fisher information (QFI), a quantity χ 2 was introduced by Pezzé and Smerzi (Phys. Rev. Lett. 102 100401, 2009). They pointed out that the inequality χ 2 < 1 was a sufficient condition for multiparticle entanglement. For the two-qubit symmetric states, we found that the inequality χ 2 < 1 is a necessary and sufficient condition for entanglement and spin squeezing, and that χ 2 is equal to the second kind of spin squeezing parameter ξ 2 2 . For the two-qubit asymmetric states, it is only a sufficient condition. In order to make it a necessary and sufficient condition, we extend the concept of the QFI and χ 2 , and generalize the relations among the entanglement measurement, the spin squeezing parameters and χ 2 in symmetric pure states to arbitrary pure states.

show abstract

Optimum Spin Squeezing in Bose-Einstein Condensates with Particle Losses

Cited by 128 publications

References 18 publications

Revivals in an attractive Bose-Einstein condensate in a double-well potential and their decoherence

Revivals in an attractive Bose-Einstein condensate in a double-well potential and their decoherence

Quantum coherence and correlations of optical radiation by atomic ensembles interacting with a two-level atom in a microwave cavity

Quantum Fisher Information in Two-Qubit Pure States

Contact Info

Product

Resources

About