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We theoretically analyze atom interferometry based on trapped ultracold atoms, and employ optimal control theory in order to optimize number squeezing and condensate trapping. In our simulations, we consider a setup where the confinement…

Other Condensed Matter · Physics 2009-12-02 Julian Grond , Gregory von Winckel , Joerg Schmiedmayer , Ulrich Hohenester

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

Splitting a Bose--Einstein condensate (BEC) is a key operation in fundamental physics experiments and emerging quantum technologies, where precise preparation of well--defined initial states requires fast yet coherent control of the…

We develop a scheme to generate number squeezing in a Bose-Einstein condensate by utilizing interference between two hyperfine levels and nonlinear atomic interactions. We describe the scheme using a multimode quantum field model and find…

Quantum Physics · Physics 2011-10-18 S. A. Haine , M. T. Johnsson

Preparation of non-trivial quantum states without introducing unwanted excitations or decoherence remains a central challenge in utilizing ultracold atomic systems for quantum simulation. We employ optimal control methods to realize fast,…

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

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

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

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

We investigate the factors that influence the usefulness of supersonic collisions of Bose-Einstein condensates as a potential source of entangled atomic pairs by analyzing the reduction of the number difference fluctuations between regions…

Quantum Gases · Physics 2013-07-16 P. Deuar , T. Wasak , P. Zin , J. Chwedenczuk , M. Trippenbach

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 present a method for phase and number squeezing in two-mode Bose systems using dissipation. The effectiveness of this method is demonstrated by considering cold Bose gases trapped in a double-well potential. The extension of our…

Quantum Gases · Physics 2012-02-09 Gentaro Watanabe , Harri Mäkelä

We theoretically investigate the creation of squeezed states of a Bose-Einstein Condensate (BEC) trapped in a magnetic double well potential. The number or phase squeezed states are created by modulating the tunnel coupling between the two…

Quantum Physics · Physics 2017-12-13 Georg Jäger , Tarik Berrada , Jörg Schmiedmayer , Thorsten Schumm , Ulrich Hohenester

We measured the relative phase of two Bose-Einstein condensates confined in an radio frequency induced double well potential on an atom chip. We observed phase coherence between the separated condensates for times up to 200 ms after…

Other Condensed Matter · Physics 2007-05-23 G. -B. Jo , Y. Shin , S. Will , T. A. Pasquini , M. Saba , W. Ketterle , D. E. Pritchard , M. Vengalattore , M. Prentiss

We study the dynamic process of splitting a condensate by raising a potential barrier in the center of a harmonic trap. We use a two-mode model to describe the phase coherence between the two halves of the condensate. Furthermore, we…

Condensed Matter · Physics 2009-10-31 C. Menotti , J. R. Anglin , J. I. Cirac , P. Zoller

Entanglement, a key feature of quantum mechanics, is a resource that allows the improvement of precision measurements beyond the conventional bound reachable by classical means. This is known as the standard quantum limit, already defining…

Other Condensed Matter · Physics 2008-12-09 J. Esteve , C. Gross , A. Weller , S. Giovanazzi , M. K. Oberthaler

We investigate spin squeezing of a two-mode boson system with a Josephson coupling. An exact relation between the squeezing and the single-particle coherence at the maximal-squeezing time is discovered, which provides a more direct way to…

Other Condensed Matter · Physics 2009-01-08 G. R. Jin , C. K. Law

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

Assuming the existence of a Bose-Einstein condensate composed of the majority of a sample of ultracold, trapped atoms, perturbative treatments to incorporate the non-condensate fraction are common. Here we describe how this may be carried…

Quantum Gases · Physics 2017-08-23 S. A. Gardiner , T. P. Billam

We study the optimization of evaporative cooling in trapped bosonic atoms on the basis of quantum kinetic theory of a Bose gas. The optimized cooling trajectory for $^{87}$Rb atoms indicates that the acceleration of evaporative cooling…

Statistical Mechanics · Physics 2009-11-07 Makoto Yamashita , Masato Koashi , Tetsuya Mukai , Masaharu Mitsunaga , Nobuyuki Imoto , Takaaki Mukai
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