Spin squeezing and entanglement in spinor condensates

Müstecaplıoğlu, Özgür E.; Zhang, M.; You, Li

doi:10.1103/physreva.66.033611

Cited by 51 publications

(53 citation statements)

References 41 publications

(92 reference statements)

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“…As was shown before [19,22] multi-atom internal state correlations continue to arise dynamically with H ′ and the addition of single atom Raman couplings of the type iΩ µν (a † µ a ν − a † ν a µ )/2. Unfortunately, we have not been able to solve for the combined dynamics analytically even for a small number of atoms.…”

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confidence: 55%

Creating Maximally Entangled Atomic States in a Bose-Einstein Condensate

You

2003

Phys. Rev. Lett.

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We propose a protocol to create maximally entangled pairs, triplets, quartiles, and other clusters of Bose condensed atoms starting from a condensate in the Mott insulator state. The essential element is to drive single atom Raman transitions using laser pulses. Our scheme is simple, efficient, and can be readily applied to the recent experimental system as reported by Greiner et al. [ Nature 413, 44 (2002)].03.65. Ud, 03.75.Fi The physics of quantum degenerate atomic gases continues in its rapid pace of development, and remains one of the most active research areas in recent years [1]. Increasingly, theoretical and experimental attentions are directed towards the underlying quantum correlation properties of the condensed atoms. It seems likely that such quantum states of matter might prove to be a fertile ground for exploring quantum information science applications.Recently, a quantum phase transition was observed in a system of Bose condensed atoms immersed in a periodic array of optical potentials [2]. As expected, when expressed in the simple Bose-Hubbard form [3], the ground state of such a system is controlled by essentially two parameters: 1) the on-site atom-atom interaction u for atoms in the same spatial mode of each individual optical well; and 2) the nearest neighboring well (single) atom tunnelling rate J (taken as positive). When J ≫ |u|, the condensate ground state is in the usual superfluid (delocalized single atom) state. On the other hand, a Mott insulator state arrives in the opposite limit |u| ≫ J. In a Mott state, atoms are localized inside individual wells. The condensate ground state takes the form of a product of Fock states with an integer number of atoms on each site. The transition from superfluid to Mott insulator is predicted to occur at |u|/J ≥ z × 2.6 with z the number of nearest neighbors in the periodic well lattice [3,4].The experimental system that yielded the first clear demonstration of the superfluid/Mott-insulator transition enables individual tuning of the values for both J and u [2]. In the experiment, the average occupations per well was around 1-3 atoms, which could potentially form elementary building blocks for atomic qubit based quantum computing designs [3].In this paper, we propose to create massive maximum entangled pairs, triplets, quartiles, and other clusters of Bose condensed atoms in a Mott insulator state. The resulting entanglement, with respect to electronic internal states, is stable and long lived. In the experiment [2] 87 Rb atoms in the magnetic trapping state |a = |F = 2, M F = −2 were used. Other internal states can be trapped in the same experimental setup. In the simple model to be presented below, a second internal state |b that can be coupled to |a through atomic Raman transitions is assumed [2] (as see earlier JILA experiments with 87 Rb states |F = 2, M F = −1 andIn a Mott state, the system dynamics is rather simple as there exists a fixed (small) number of atoms within each well. If we use the second quantized operators a(a † ) and b(b † )...

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confidence: 55%

Creating Maximally Entangled Atomic States in a Bose-Einstein Condensate

You

2003

Phys. Rev. Lett.

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“…Collisions between the different internal states of the atoms allow spin-changing collisions that have been studied in detail in [7][8][9][10]. These collisions can notably be employed to generate spin squeezing [11][12][13], that can be used to overcome the quantum shot noise limit [14][15][16][17][18]. Spinor dynamics was also studied in two dimensional systems [15], and in the presence of periodic potentials and across the superfluid to Mott insulator transition [19].…”

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confidence: 99%

Exploring the thermodynamics of spin-1 Bose gases with synthetic magnetization

et al. 2019

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We study the thermodynamic properties of a spin-1 Bose gas across the Bose-Einstein condensation transition. We present the theoretical description of the thermodynamics of a trapped ideal spin-1 Bose gas and we describe the phases that can be obtained in this system as a function of the temperature and of the populations in the different spin components. We propose a simple way to realize a 'synthetic magnetization' that can be used to probe the entire phase diagram while keeping the real magnetization of the system fixed. We experimentally demonstrate the use of such method to explore different phases in a sample with zero total magnetization. Our work opens up new perspectives to study isothermal quenching dynamics through different magnetic phases in spinor condensates.

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“…For two-qubit systems, the entanglement can be well quantified by the concurrence [6]. For higher-spin systems, the quantification and verification of entanglement become the most challenging work [4,[7][8][9][10]. Spin squeezing is one of the successful methods for creating quantum entanglement in systems with a large number of particles [7,9,[11][12][13][14][15][16][17][18][19][20] .…”

Section: Introductionmentioning

confidence: 99%

Negative Correlations and Entanglement in Higher-Spin Dicke States

2016

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We consider entanglement criteria based on the spin squeezing inequalities for arbitrary spin systems. Here we use the negative correlations to detect the entanglement in the system with exchange symmetry. For arbitrary spin systems, we can find that the state is entangled, when the minimal pairwise correlation is negative. Then we give a parameter which is defined by the collective angular momentum operator, to detect the entanglement for the Dicke state with N spin−1 particles, and the results are as the same as negative correlation. We also consider the directions of negative correlation, the state is entangled in two orthogonal directions for the superposition of Dicke state without parity.

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Spin squeezing and entanglement in spinor condensates

Cited by 51 publications

References 41 publications

Creating Maximally Entangled Atomic States in a Bose-Einstein Condensate

Creating Maximally Entangled Atomic States in a Bose-Einstein Condensate

Exploring the thermodynamics of spin-1 Bose gases with synthetic magnetization

Negative Correlations and Entanglement in Higher-Spin Dicke States

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