Bose-Einstein condensate in a box

Meyrath, Todd P.; Schreck, Florian; Hanssen, James; Chuu, Chih-Sung; Raizen, Mark G.

doi:10.1103/physreva.71.041604

Cited by 252 publications

(280 citation statements)

References 19 publications

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“…To illustrate our technique we consider a specific experimental system: 87 Rb atoms confined on a single two dimensional (xy plane) optical lattice with two hyperfine ground states |↓ ≡ |F = 1, m F = −1 and |↑ ≡ |F = 2, m F = −2 chosen as the spin of each atom. Here the atomic dynamics in the z direction are frozen out by high frequency optical traps [22]. However, the scheme can be directly applied to three dimensional optical lattices by using one additional focused laser which propagates along the xy plane and plays the same role as the focused laser (propagating along the z axis) discussed in the following step (II).…”

Section: B Proposed Experimental Realizationmentioning

confidence: 99%

Probingn-spin correlations in optical lattices

2007

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We propose a technique to measure multi-spin correlation functions of arbitrary range as determined by the ground states of spinful cold atoms in optical lattices. We show that an observation of the atomic version of the Stokes parameters, using focused lasers and microwave pulsing, can be related to n-spin correlators. We discuss the possibility of detecting not only ground state static spin correlations, but also time-dependent spin wave dynamics as a demonstrative example using our proposed technique.

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Section: B Proposed Experimental Realizationmentioning

confidence: 99%

Probingn-spin correlations in optical lattices

2007

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“…Using the available laser technology [3] one can create quasi-one-dimensional box-trap with two strong endcap lasers providing the potential walls shown in Fig.1. The box is divided in two by adding a third laser in the middle, and the left well is populated with a large number N of weakly interacting atoms, while, say, three atoms are introduced into the right well.…”

Section: (Filled Dots) Each Dot Contributesmentioning

confidence: 99%

Quantum Law of Rare Events for Systems with Bosonic Symmetry

Sokolovski

2013

Phys. Rev. Lett.

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In classical physics the joint probability of a number of individually rare independent events is given by the Poisson distribution. It describes, for example, unidirectional transfer of population between the densely and sparsely populated states of a classical two-state system. We derive a quantum version of the law for a large number of non-interacting systems (particles) obeying BoseEinstein statistics. The classical low is significantly modified by quantum interference, which allows, among other effects, for the counter flow of particles back into the densely populated state. Suggested observation of this classically forbidden counter flow effect can be achieved with modern laser-based techniques used for manipulating and trapping of cold atoms.PACS numbers: 03.65.-w, 03.75.lm, 02.50.-r In classical physics and statistics, probability for a number of individually rare events is universally given by the Poisson distribution (see, for instance, [1]). For example, it is obeyed by a classical gas escaping into an empty space through a penetrable membrane. With the number of atoms N large, and the transition probability made proportionally small, the number of escaped atoms is governed by the Poisson law, with the number of atoms recaptured into the original reservoir vanishing as N → ∞. The validity of the Poisson distribution depends on that one can, in principle, know not only how many but also which of the atoms have escaped. Quantum mechanics offers a different possibility: for identical particles one is allowed to know only the number of the escapees, and not their identities. While it is well known that both Fermi-Dirac and Bose-Einstein symmetries of a wave function may lead to non-poissonian effects in the full counting statistics of otherwise independent particles [2]-[8], the failure of the Poisson law in the limit of rare events is less obvious. The subject of this Letter is the general question of what replaces the classical Poisson law in a quantum situation where only the total number of rare events, but not their individual details, can be observed?. We specify to the case of many non-interacting bosons, each of which may occupy one of the two available states. Such systems are also of practical interest, e.g., for their potential applications as detectors. For example, if the transmission amplitude between two connected cavities is influenced by a passing particle, the change observed in the photonic current would announce the particle's arrival. In a similar way, atomic current of a weakly interacting Bose-Einstein condensate (BEC) trapped in a double-or multi-well potential (see Fig.1) can be used to gain information about the state of a qubit coupled to the BEC [9]- [11]. Detailed analysis of the work of such hybrid bosonic devices must take into account in which manner, and how frequently, the bosonic sub-system is observed, and will be given elsewhere. We note that the problem is fundamentally different from that of the frequently studied coined quantum walk [12], where interference betw...

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“…External manipulation of Hamiltonians with both discrete and continuum spectra routinely occur in applications such as metrology and quantum information processing. The presence of a continuum plays an important role in atom lasers [1,2], in the preparation of atomic pulses with a known velocity distribution [3], or in the production of few-body number states [4][5][6][7][8]. Quite often a continuum is responsible for undesirable loss of trapped particles, as it happens in transport of trapped ions, or in trapped ion atomic clocks.…”

Section: Introductionmentioning

confidence: 99%

Adiabaticity in a time-dependent trap: The passage near a continuum threshold

Sokolovski

Pons

2015

Phys. Rev. A

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We consider a time dependent trap externally manipulated in such a way that one of its bound states is brought up towards the continuum threshold, and then down again. We evaluate the probability P stay for a particle, initially in a bound state of the trap, to continue in it at the end of the passage. We use the Sturmian representation, whereby the problem is reduced to evaluating the reflecting coefficient of an absorbing potential. In the slow passage limit, P stay goes to 1 for a state turning before reaching the continuum threshold, and vanishes if the bound state crosses into the continuum. For a slowly moving state just "touching" the threshold P stay tends to a universal value of about 38%, for a broad class of potentials. In the rapid passage limit, P stay depends on the choice of the potential. Various types of trapping potentials are considered, with an analytical solution obtained in the special case of a zero-range well.

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Bose-Einstein condensate in a box

Cited by 252 publications

References 19 publications

Probingn-spin correlations in optical lattices

Probingn-spin correlations in optical lattices

Quantum Law of Rare Events for Systems with Bosonic Symmetry

Adiabaticity in a time-dependent trap: The passage near a continuum threshold

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