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The interplay between matter particles and gauge fields in physical spaces with nontrivial geometries can lead to novel topological quantum matter. However, detailed microscopic mechanisms are often obscure, and unconventional spaces are…

We study the scattering properties of a Bose-Einstein condensate held in a finite depth well when the incoming particles are identical to the ones in the condensate. We calculate phase shifts and corresponding transmission and reflection…

Condensed Matter · Physics 2009-11-07 Uffe V. Poulsen , Klaus Molmer

In the last several years considerable efforts have been devoted to developing Bose-Einstein Condensate (BEC)-based devices for applications such as fundamental research, precision measurements and integrated atom optics. Such devices…

Statistical Mechanics · Physics 2015-06-25 James A. Stickney , Dana Z. Anderson , Alex A. Zozulya

We study chaotic dynamics and anomalous transport in a Bose-Hubbard chain in the semiclassical regime (the limit when the number of particles goes to infinity). We find that the system has mixed phase space with both regular and chaotic…

Quantum Physics · Physics 2024-04-18 Dragan Marković , Mihailo Čubrović

Viscously damped particles driven past an evenly spaced array of potential energy wells or barriers may become kinetically locked in to the array, or else may escape from the array. The transition between locked-in and free-running states…

Soft Condensed Matter · Physics 2009-11-11 Yael Roichman , Victor Wong , David G. Grier

We study the stationary nonlinear Schr\"odinger equation, or Gross-Pitaevskii equation, for a one--dimensional finite square well potential. By neglecting the mean--field interaction outside the potential well it is possible to discuss the…

Other Condensed Matter · Physics 2007-05-23 K. Rapedius , D. Witthaut , H. J. Korsch

We study the dynamics of a Bose-Einstein condensate in a double-well potential in the two-mode approximation. The dissipation of energy from the condensate is described by the coupling to a thermal reservoir of non-condensate modes. As a…

Condensed Matter · Physics 2009-10-31 Janne Ruostekoski , Dan F. Walls

Quantum teleportation and quantum memory are two crucial elements for large-scale quantum networks. With the help of prior distributed entanglement as a "quantum channel", quantum teleportation provides an intriguing means to faithfully…

Quantum Physics · Physics 2014-04-25 Xiao-Hui Bao , Xiao-Fan Xu , Che-Ming Li , Zhen-Sheng Yuan , Chao-Yang Lu , Jian-Wei Pan

The irreversible transport of multi-component Bose-Einstein condensate (BEC) is investigated within the Stimulated Adiabatic Raman Passage (STIRAP) scheme. A general formalism for a single BEC in M-well trap is derived and analogy between…

Other Condensed Matter · Physics 2014-02-04 V. O. Nesterenko , A. N. Novikov , F. F. de Souza Cruz , E. L. Lapolli

Two aspects of the transport of the repulsive Bose-Einstein condensate (BEC) in a double-well trap are inspected: impact of the interatomic interaction and analogy to the Josephson effect. The analysis employs a numerical solution of 3D…

Quantum Gases · Physics 2015-01-22 V. O. Nesterenko , A. N. Novikov , E. Suraud

We introduce the concept of a quantum walk with two particles and study it for the case of a discrete time walk on a line. A quantum walk with more than one particle may contain entanglement, thus offering a resource unavailable in the…

Quantum Physics · Physics 2007-05-23 Y. Omar , N. Paunkovic , L. Sheridan , S. Bose

We revisit the problem of quantum tunneling for a particle moving in the continuum, and in the absence of a magnetic field. In all spatial dimensions, we extend previous results to the case where the single-well potential satisfies…

Mathematical Physics · Physics 2025-06-17 Charles L. Fefferman , Jacob Shapiro , Michael I. Weinstein

We show that the adiabatic dynamics of a Bose-Einstein condensate (BEC) in a double well potential can be described in terms of a dark variable resulting from the combination of the population imbalance and the spatial atomic coherence…

Quantum Gases · Physics 2010-04-21 C. Ottaviani , V. Ahufinger , R. Corbalán , J. Mompart

A physical theory without interpretation is mathematics. Since there are no paradoxes in science, only incorrect interpretations of phenomena or inadequate theories, it is necessary to use a consistent interpretation of quantum mechanics…

Quantum Physics · Physics 2007-05-23 B. C. Sanctuary

Many biological and artificial transport channels function without direct input of metabolic energy during a transport event and without structural rearrangements involving transitions from a 'closed' to an 'open' state. Nevertheless, such…

Subcellular Processes · Quantitative Biology 2009-11-13 Anton Zilman

Each step in a quantum random walk is typically understood to have two basic components; a `coin-toss' which produces a random superposition of two states, and a displacement which moves each component of the superposition by different…

Quantum Physics · Physics 2016-02-25 Gil Summy , Sandro Wimberger

A new method is used to investigate the tunneling between two weakly-linked Bose-Einstein condensates confined in double-well potential traps. The nonlinear interaction between the atoms in each well contributes to a finite chemical…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Yunbo Zhang , H. J. W. Müller-Kirsten

We consider Bose-Einstein condensation of noninteracting homogeneous three-dimensional gas in canonical ensemble when both particle number $N$ and total momentum $\mathbf{P}$ of all particles are fixed. Using the saddle point method, we…

Quantum Gases · Physics 2024-07-11 Andrey S. Plyashechnik , Alexey A. Sokolik , Yurii E. Lozovik

The use of a three-particle quantum channel to teleport entangled states through a slight modification of the standard teleportation procedure is studied. It is shown that it is not possible to perform successful teleportation of an…

Quantum Physics · Physics 2007-05-23 Luca Marinatto , Tullio Weber

We study the coherent flow of interacting Bose-condensed atoms in mesoscopic waveguide geometries. Analytical and numerical methods, based on the mean-field description of the condensate, are developed to study both stationary as well as…

Other Condensed Matter · Physics 2009-11-13 Tobias Paul , Michael Hartung , Klaus Richter , Peter Schlagheck