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We discuss the dynamics of a Bose-Einstein condensate in a double-well trap subject to phase noise and particle loss. The phase coherence of a weakly-interacting condensate, experimentally measured via the contrast in an interference…

Quantum Physics · Physics 2009-03-25 D. Witthaut , F. Trimborn , S. Wimberger

We analytically investigate the ground-state properties of two-component Bose-Einstein condensates with few ⁸⁷Rb atoms inside a high-quality cavity quantum electrodynamics. In the SU(2) representation for atom, this quantum…

Quantum Physics · Physics 2009-11-13 Gang Chen , Zidong Chen , J. -Q. Liang

We study the measurement of the position of atoms as a means to estimate the relative phase between two Bose-Einstein condensates. First, we consider $N$ atoms released from a double-well trap, forming an interference pattern, and show that…

Quantum Gases · Physics 2015-05-20 Jan Chwedenczuk , Francesco Piazza , Augusto Smerzi

In this paper, a quantum Stern-Gerlach thought experiment is introduced where, in addition to the intrinsic angular momentum of an atom, the magnetic field is also treated quantum mechanically. A freely falling spin polarised Bose-Einstein…

Quantum Physics · Physics 2017-11-20 Mandip Singh

We present a quantum phase space model of Bose-Einstein condensate (BEC) in a double well potential. In a two-mode Fock-state analysis we examine the eigenvectors and eigenvalues and find that the energy correlation diagram indicates a…

Soft Condensed Matter · Physics 2009-11-10 Khan W. Mahmud , Heidi Perry , William P. Reinhardt

The Zeno and anti-Zeno effects are features of measurement-driven quantum evolution where frequent measurement inhibits or accelerates the decay of a quantum state. Either type of evolution can emerge depending on the system-environment…

Quantum Physics · Physics 2017-06-21 P. M. Harrington , J. T. Monroe , K. W. Murch

Recently, there has been much interest in simulating quantum field theory effects of matter and gauge fields. In a recent work [Phys. Rev. Lett. 107, 275301 (2011)] a method for simulating compact Quantum Electrodynamics (cQED) using…

Quantum Physics · Physics 2013-05-30 Erez Zohar , J. Ignacio Cirac , Benni Reznik

The dynamics of a Bose-Einstein condensate in a double-well potential are analysed in terms of transitions between energy eigenstates. By solving the time-dependent and time-independent Gross-Pitaevskii equation in one dimension, we…

Condensed Matter · Physics 2009-11-07 E. Sakellari , M. Leadbeater , N. J. Kylstra , C. S. Adams

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

The quantum Zeno effect is the suppression of Hamiltonian evolution by repeated observation, resulting in the pinning of the state to an eigenstate of the measurement observable. Using measurement only, control of the state can be achieved…

We study some effects arising from periodic modulation of the asymmetry and the barrier height of a two-well potential containing a Bose-Einstein condensate. At certain modulation frequencies the system exhibits resonances, which may lead…

Quantum Physics · Physics 2009-11-10 H. L. Haroutyunyan , G. Nienhuis

We have begun a series of experiments on mixed bosonic quantum fluids. Our system is mixed Bose-Einstein condensates in dilute Rb-87. By simultaneously trapping the atoms in two different hyperfine states, we are able to study the dynamics…

Condensed Matter · Physics 2007-05-23 E. A. Cornell , D. S. Hall , M. R. Matthews , C. E. Wieman

A quantum device for measuring two-body interactions, scalar magnetic fields and rotations is proposed using a Bose--Einstein condensate (BEC) in a ring trap. We consider an imbalanced superposition of orbital angular momentum modes with…

Quantum Physics · Physics 2019-02-13 G. Pelegrí , J. Mompart , V. Ahufinger

Quantum turbulence deals with the phenomenon of turbulence in quantum fluids, such as superfluid helium and trapped Bose-Einstein condensates (BECs). Although much progress has been made in understanding quantum turbulence, several…

We prove two equilibrium properties of a system of interacting atoms in three or higher dimensional continuous space. (i) If the particles interact via pair potentials of a nonnegative Fourier transform, their self-organization into…

Mathematical Physics · Physics 2023-05-31 Andras Suto

We consider an atomic Bose-Einstein condensate trapped in a symmetric one-dimensional double well potential in the four-mode approximation and show that the semiclassical dynamics of the two ground state modes can be strongly influenced by…

Quantum Physics · Physics 2014-02-20 J. Gillet , M. A. Garcia-March , Th. Busch , F. Sols

We study the dynamics of three-dimensional weakly linked Bose-Einstein condensates using a multimode model with an effective interaction parameter. The system is confined by a ring-shaped four-well trapping potential. By constructing a…

Quantum Gases · Physics 2018-02-27 M. Nigro , P. Capuzzi , H. M. Cataldo , D. M. Jezek

We study the quench dynamics of a Bose-Einstein condensate under a Raman-assisted synthetic spin-orbit coupling. To model the dynamical process, we adopt a self-consistent Bogoliubov approach, which is equivalent to applying the…

Quantum Gases · Physics 2016-06-01 Tian-Shu Deng , Wei Zhang , Wei Yi , Guang-Can Guo

Quantum evolution of a collective mode of a Bose-Einstein condensate containing a finite number N of particles shows the phenomena of collapses and revivals. The characteristic collapse time depends on the scattering length, the initial…

Condensed Matter · Physics 2016-08-31 A. B. Kuklov , N. Chencinski , A. M. Levine , W. M. Schreiber , Joseph L. Birman

The Zeno effect, in which repeated observation freezes the dynamics of a quantum system, stands as an iconic oddity of quantum mechanics. When a measurement is unable to distinguish between states in a subspace, the dynamics within that…