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We discuss theoretically the ground state of a Bose-Einstein condensate with attractive atom-atom interactions in a double-well trap as a starting point of Heisenberg-limited atom interferometry. The dimensionless parameter governing the…

Quantum Physics · Physics 2015-06-17 Juha Javanainen , Han Chen

Atom interferometers covering macroscopic domains of space-time are a spectacular manifestation of the wave nature of matter. Due to their unique coherence properties, Bose-Einstein condensates are ideal sources for an atom interferometer…

NOON states (states of the form $|N>_{a}|0>_{b}+|0>_{a}|N>_{b}$ where $a$ and $b$ are single particle states) have been used for predicting violations of local realism (Greenberger-Horne-Zeilinger violations) and are valuable in metrology…

Quantum Physics · Physics 2015-03-19 H. Cable , F. Laloë , W. J. Mullin

We consider a macroscopic two-sate system based on persistent current states of a Bose-Einstein condensate (BEC) of interacting neutral atoms confined in a ring with a weak Josephson link. We demonstrate that macroscopic superpositions of…

Quantum Gases · Physics 2012-03-20 Dmitry Solenov , Dmitry Mozyrsky

The relative phase of two initially independent Bose-Einstein condensates can be laser cooled to unite the two condensates by putting them into a ring cavity and coupling them with an internal Josephson junction. First, we show that this…

Condensed Matter · Physics 2009-11-07 D. Jaksch , S. A. Gardiner , K. Schulze , J. I. Cirac , P. Zoller

Here we examine the generation of Twist and Turn (TNT) Squeezing in a large atom-number Bose-Einstein Condensate for the purposes of generating quantum-enhanced states for atom interferometry. Unlike previous analysis, we examine situations…

Quantum Physics · Physics 2022-02-14 Junbang Liu , Thomas Bartlett , Joseph Hope , Simon Haine

We numerically investigate the ground state, the Raman-driving dynamics and the nonlinear excitations of a realized spin-orbit-coupled Bose-Einstein condensate in a one-dimensional harmonic trap. Depending on the Raman coupling and the…

Quantum Gases · Physics 2015-01-07 Shuai Cao , Chuan-Jia Shan , Dan-Wei Zhang , Xizhou Qin , Jun Xu

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

Synthesis of the Einstein-Podolsky-Rosen entangled state --- the primary entangled resource in continuous-variable quantum-optical information processing --- is a technological challenge of great importance. Here we propose and implement a…

Quantum Physics · Physics 2017-03-08 Ilya A. Fedorov , Alexander E. Ulanov , Yury V. Kurochkin , A. I. Lvovsky

A Bose-Einstein condensate may be used to make precise measurements of weak forces, utilizing the macroscopic occupation of a single quantum state. We present a scheme which uses a condensate in a double well potential to do this. The…

Condensed Matter · Physics 2009-10-31 J. F. Corney , G. J. Milburn , Weiping Zhang

Evading the Mermin-Wagner-Hohenberg no-go theorem and revisiting with rigor the ideal Bose gas confined in a square box, we explore a discrete phase transition in two spatial dimensions. Through both analytic and numerical methods we verify…

Quantum Gases · Physics 2015-01-27 Wonyoung Cho , Sang-Woo Kim , Jeong-Hyuck Park

This work presents a theoretical study of a protocol for dynamical generation and storage of the durable, highly entangled Greenberger-Horne-Zeilinger (GHZ) state in a system composed of bosonic atoms loaded into a one-dimensional optical…

Quantum Physics · Physics 2023-03-14 Maciej Kościelski

Projected squeezed (PS) states are multipartite entangled states generated by unitary spin squeezing, followed by a collective quantum measurement and post-selection. They can lead to an appreciable decrease in the state preparation time of…

Quantum Physics · Physics 2024-05-14 B. J. Alexander , J. J. Bollinger , M. S. Tame

Achieving full control of a Bose-Einstein condensate can have valuable applications in metrology, quantum information processing, and quantum condensed matter physics. We propose protocols to simultaneously control the internal (related to…

Quantum Physics · Physics 2026-01-13 Yue Ban , Xi Chen , J. G. Muga , E. Ya Sherman

The dynamics of a two-mode Bose-Einstein condensate trapped in a double-well potential results approximately in an effective Rabi oscillation regime of exchange of population between both wells for sufficiently strong overlap between the…

Quantum Physics · Physics 2019-10-02 B. R. da Cunha , M. C. de Oliveira

In this work, we study pancake-shaped Bose-Einstein condensates confined by both a cylindrically symmetric harmonic potential and an optical lattice with equal periodicity in two orthogonal directions. We first identify the spectrum of the…

Pattern Formation and Solitons · Physics 2012-05-30 K. J. H. Law , P. G. Kevrekidis , B. P. Anderson , R. Carretero-Gonzalez , D. J. Frantzeskakis

In this work, we consider a Bose-Einstein condensate in the self-focusing regime, confined transversely by a funnel-like potential and axially by a double-well potential formed by the combination of two inverted P\"oschl-Teller potentials.…

Quantum Gases · Physics 2022-10-19 Bruno M. Miranda , Mateus C. P. dos Santos , Wesley B. Cardoso

The Morse potential one-dimensional quantum system is a realistic model for studying vibrations of atoms in a diatomic molecule. This system is very close to the harmonic oscillator one. We thus propose a construction of squeezed coherent…

Mathematical Physics · Physics 2015-06-03 M. Angelova , A. Hertz , V. Hussin

We analyze the dynamics of quantum statistics in a harmonically trapped Bose-Einstein condensate, whose two-body interaction strength is controlled via a Feshbach resonance. From an initially non-interacting coherent state, the quantum…

Other Condensed Matter · Physics 2008-02-19 S. Wuester , B. J. Dabrowska-Wuester , S. M. Scott , J. D. Close , C. M. Savage

Bosonic systems, such as photons and ultracold atoms, have played a central role in demonstrating quantum-enhanced sensing. Quantum entanglement, through squeezed and GHZ states, enables sensing beyond classical limits. However, such a…

Quantum Physics · Physics 2025-11-21 Jieqiu Shao , Diego A. R. Dalvit , Lukasz Cincio , Bharath Hebbe Madhusudhana