skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Number-squeezed and fragmented states of strongly interacting bosons in a double well

; ;
Publication Date:
Sponsoring Org.:
OSTI Identifier:
Grant/Contract Number:  
Resource Type:
Publisher's Accepted Manuscript
Journal Name:
Physical Review A
Additional Journal Information:
Journal Name: Physical Review A Journal Volume: 96 Journal Issue: 5; Journal ID: ISSN 2469-9926
American Physical Society
Country of Publication:
United States

Citation Formats

Corbo, Joel C., DuBois, Jonathan L., and Whaley, K. Birgitta. Number-squeezed and fragmented states of strongly interacting bosons in a double well. United States: N. p., 2017. Web. doi:10.1103/PhysRevA.96.053627.
Corbo, Joel C., DuBois, Jonathan L., & Whaley, K. Birgitta. Number-squeezed and fragmented states of strongly interacting bosons in a double well. United States. doi:10.1103/PhysRevA.96.053627.
Corbo, Joel C., DuBois, Jonathan L., and Whaley, K. Birgitta. Wed . "Number-squeezed and fragmented states of strongly interacting bosons in a double well". United States. doi:10.1103/PhysRevA.96.053627.
title = {Number-squeezed and fragmented states of strongly interacting bosons in a double well},
author = {Corbo, Joel C. and DuBois, Jonathan L. and Whaley, K. Birgitta},
abstractNote = {},
doi = {10.1103/PhysRevA.96.053627},
journal = {Physical Review A},
number = 5,
volume = 96,
place = {United States},
year = {2017},
month = {11}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevA.96.053627

Save / Share:

Works referenced in this record:

Number squeezing, quantum fluctuations, and oscillations in mesoscopic Bose Josephson junctions
journal, August 2008

Particle vs. pair condensation in attractive Bose liquids
journal, January 1982

Coupled-mode theory for Bose-Einstein condensates
journal, February 2000

Fragility of fragmentation in Bose-Einstein condensates
journal, December 2008

Extended Coherence Time with Atom-Number Squeezed States
journal, January 2007

Bose-Einstein Condensation in a Gas of Sodium Atoms
journal, November 1995

Fragmented Many-Body Ground States for Scalar Bosons in a Single Trap
journal, August 2009

Integrated Mach–Zehnder interferometer for Bose–Einstein condensates
journal, June 2013

  • Berrada, T.; van Frank, S.; Bücker, R.
  • Nature Communications, Vol. 4, Issue 1
  • DOI: 10.1038/ncomms3077

Squeezing and entanglement in a Bose–Einstein condensate
journal, October 2008

Path integral ground state with a fourth-order propagator: Application to condensed helium
journal, March 2005

  • Cuervo, Javier E.; Roy, Pierre-Nicholas; Boninsegni, Massimo
  • The Journal of Chemical Physics, Vol. 122, Issue 11
  • DOI: 10.1063/1.1872775

Implementation of Cavity Squeezing of a Collective Atomic Spin
journal, February 2010

Binary mixtures of Bose-Einstein condensates: Phase dynamics and spatial dynamics
journal, February 2000

  • Sinatra, A.; Castin, Y.
  • The European Physical Journal D - Atomic, Molecular and Optical Physics, Vol. 8, Issue 3
  • DOI: 10.1007/s100530050042

Squeezed States in a Bose-Einstein Condensate
journal, March 2001

Dynamic generation of spin-squeezed states in bosonic Josephson junctions
journal, August 2012

Josephson tunneling between weakly interacting Bose-Einstein condensates
journal, August 2001

Entanglement-enhanced measurement of a completely unknown optical phase
journal, December 2010

Stability of spherically trapped three-dimensional Bose-Einstein condensates against macroscopic fragmentation
journal, February 2013

The Bogoliubov approach to number squeezing of atoms in an optical lattice
journal, March 2002

  • Burnett, Keith; Edwards, Mark; Clark, Charles W.
  • Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 35, Issue 7
  • DOI: 10.1088/0953-4075/35/7/305

Multiconfigurational Hartree-Fock theory for identical bosons in a double well
journal, December 2005

Bose-Einstein condensates in a one-dimensional double square well: Analytical solutions of the nonlinear Schrödinger equation
journal, December 2002

Quantum phase-space picture of Bose-Einstein condensates in a double well
journal, February 2005

Eigenvalues and Eigenfunctions of a Bose System of Hard Spheres and Its Low-Temperature Properties
journal, June 1957

The Scattering of Slow Neutrons by Bound Protons. I. Methods of Calculation
journal, February 1947

A quantum‐statistical Monte Carlo method; path integrals with boundary conditions
journal, March 1979

  • Barker, J. A.
  • The Journal of Chemical Physics, Vol. 70, Issue 6
  • DOI: 10.1063/1.437829

Efficient, Multiple-Range Random Walk Algorithm to Calculate the Density of States
journal, March 2001

Direct Observation of a Sub-Poissonian Number Distribution of Atoms in an Optical Lattice
journal, March 2010

Spatial fragmentation of a Bose-Einstein condensate in a double-well potential
journal, May 1999

Josephson effect between trapped Bose-Einstein condensates
journal, January 1998

  • Zapata, Ivar; Sols, Fernando; Leggett, Anthony J.
  • Physical Review A, Vol. 57, Issue 1
  • DOI: 10.1103/PhysRevA.57.R28

Einstein-Podolsky-Rosen-entangled Bose-Einstein condensates in state-dependent potentials: A dynamical study
journal, July 2017

Direct Observation of Sub-Poissonian Number Statistics in a Degenerate Bose Gas
journal, December 2005

Macroscopic superposition of ultracold atoms with orbital degrees of freedom
journal, April 2011

Large atom number Bose-Einstein condensate machines
journal, February 2006

  • Streed, Erik W.; Chikkatur, Ananth P.; Gustavson, Todd L.
  • Review of Scientific Instruments, Vol. 77, Issue 2
  • DOI: 10.1063/1.2163977

Nonlinear atom interferometer surpasses classical precision limit
journal, March 2010

Propagation of Bose-Einstein Condensates in a Magnetic Waveguide
journal, July 2002

Conditional Spin Squeezing of a Large Ensemble via the Vacuum Rabi Splitting
journal, March 2011

Replica Monte Carlo Simulation of Spin-Glasses
journal, November 1986

Quantum dynamics of the phase of a Bose–Einstein condensate
journal, October 1997

Quantum Monte Carlo Calculations for a Large Number of Bosons in a Harmonic Trap
journal, October 1996

Probing Number Squeezing of Ultracold Atoms across the Superfluid-Mott Insulator Transition
journal, March 2006

Inhibition of Coherence in Trapped Bose-Einstein Condensates
journal, March 1997

Single-atom box: Bosonic staircase and effects of parity
journal, September 2008

Phase-Slip Interferometry for Precision Force Measurements
journal, September 2009

Quantum dynamics of an atomic Bose-Einstein condensate in a double-well potential
journal, June 1997

Generation of Spin Squeezing via Continuous Quantum Nondemolition Measurement
journal, August 2000

Condensate Fraction in Liquid 4 He
journal, August 2004

Path integrals in the theory of condensed helium
journal, April 1995

Bose-Einstein condensation in the alkali gases: Some fundamental concepts
journal, April 2001

Quantum‐Mechanical Pair‐Correlation Function of Hard Spheres
journal, February 1968

  • Larsen, Sigurd Yves
  • The Journal of Chemical Physics, Vol. 48, Issue 4
  • DOI: 10.1063/1.1668897

General variational many-body theory with complete self-consistency for trapped bosonic systems
journal, June 2006

Interferometry below the Standard Quantum Limit with Bose-Einstein Condensates
journal, September 2002

A new quantum propagator for hard sphere and cavity systems
journal, August 1992

  • Cao, J.; Berne, B. J.
  • The Journal of Chemical Physics, Vol. 97, Issue 4
  • DOI: 10.1063/1.463076

Spin squeezing in a bimodal condensate: spatial dynamics and particle losses
journal, January 2009

Long Phase Coherence Time and Number Squeezing of Two Bose-Einstein Condensates on an Atom Chip
journal, January 2007

Fragmentation of Bose-Einstein condensates
journal, September 2006

Gross-Pitaevskii equation for Bose particles in a double-well potential: Two-mode models and beyond
journal, January 2006

Mesoscopic atomic entanglement for precision measurements beyond the standard quantum limit
journal, June 2009

  • Appel, J.; Windpassinger, P. J.; Oblak, D.
  • Proceedings of the National Academy of Sciences, Vol. 106, Issue 27
  • DOI: 10.1073/pnas.0901550106

Ground-state fragmentation of repulsive Bose-Einstein condensates in double-trap potentials
journal, November 2004

  • Streltsov, Alexej I.; Cederbaum, Lorenz S.; Moiseyev, Nimrod
  • Physical Review A, Vol. 70, Issue 5
  • DOI: 10.1103/PhysRevA.70.053607

Direct observation of second-order atom tunnelling
journal, August 2007

Preparing and Probing Atomic Number States with an Atom Interferometer
journal, May 2007

Observation of Bose-Einstein Condensation in a Dilute Atomic Vapor
journal, July 1995

Sub-shot-noise-limited measurements with Bose-Einstein condensates
journal, September 2004

A primary noise thermometer for ultracold Bose gases
journal, September 2006

Quantizing Angular Momentum via the Simple Harmonic Oscillator
journal, September 1971

  • Friedman, Charles P.; Taylor, Edwin F.
  • American Journal of Physics, Vol. 39, Issue 9
  • DOI: 10.1119/1.1986371

Unified theory of nuclear reactions
journal, December 1958

Collapse and revival of the matter wave field of a Bose–Einstein condensate
journal, September 2002

  • Greiner, Markus; Mandel, Olaf; Hänsch, Theodor W.
  • Nature, Vol. 419, Issue 6902
  • DOI: 10.1038/nature00968

Atom Interferometry with Bose-Einstein Condensates in a Double-Well Potential
journal, February 2004

Ultracold few-boson systems in a double-well trap
journal, November 2006

Atom-chip-based generation of entanglement for quantum metrology
journal, March 2010

Splitting a trap containing a Bose-Einstein condensate: Atom number fluctuations
journal, September 1999

Local and spatially extended sub-Poisson atom-number fluctuations in optical lattices
journal, July 2011

Extreme Tunability of Interactions in a Li 7 Bose-Einstein Condensate
journal, March 2009

Orientation-Dependent Entanglement Lifetime in a Squeezed Atomic Clock
journal, June 2010

Equation of State Calculations by Fast Computing Machines
journal, June 1953

  • Metropolis, Nicholas; Rosenbluth, Arianna W.; Rosenbluth, Marshall N.
  • The Journal of Chemical Physics, Vol. 21, Issue 6
  • DOI: 10.1063/1.1699114

Spin Squeezed Atoms: A Macroscopic Entangled Ensemble Created by Light
journal, August 1999

Spin squeezing and reduced quantum noise in spectroscopy
journal, December 1992

Observation of Strong Quantum Depletion in a Gaseous Bose-Einstein Condensate
journal, May 2006

Theory of Bose-Einstein condensation in trapped gases
journal, April 1999

  • Dalfovo, Franco; Giorgini, Stefano; Pitaevskii, Lev P.
  • Reviews of Modern Physics, Vol. 71, Issue 3
  • DOI: 10.1103/RevModPhys.71.463

Matter-wave interferometry in a double well on an atom chip
journal, September 2005

  • Schumm, T.; Hofferberth, S.; Andersson, L. M.
  • Nature Physics, Vol. 1, Issue 1
  • DOI: 10.1038/nphys125

On-site number statistics of ultracold lattice bosons
journal, January 2007

  • Capogrosso-Sansone, Barbara; Kozik, Evgeny; Prokof’ev, Nikolay
  • Physical Review A, Vol. 75, Issue 1
  • DOI: 10.1103/PhysRevA.75.013619

Gradient symplectic algorithms for solving the Schrödinger equation with time-dependent potentials
journal, July 2002

  • Chin, Siu A.; Chen, C. R.
  • The Journal of Chemical Physics, Vol. 117, Issue 4
  • DOI: 10.1063/1.1485725

Optics and interferometry with atoms and molecules
journal, July 2009

  • Cronin, Alexander D.; Schmiedmayer, Jörg; Pritchard, David E.
  • Reviews of Modern Physics, Vol. 81, Issue 3
  • DOI: 10.1103/RevModPhys.81.1051

Ultrasensitive Two-Mode Interferometry with Single-Mode Number Squeezing
journal, April 2013

A path integral ground state method
journal, July 2000

  • Sarsa, A.; Schmidt, K. E.; Magro, W. R.
  • The Journal of Chemical Physics, Vol. 113, Issue 4
  • DOI: 10.1063/1.481926

Bose-Einstein Condensation and Liquid Helium
journal, November 1956

Observation of Interference Between Two Bose Condensates
journal, January 1997

Reduced density matrices and coherence of trapped interacting bosons
journal, August 2008

Optimal frequency measurements with maximally correlated states
journal, December 1996

Interacting trapped bosons yield fragmented condensate states in low dimensions
journal, July 2010

Two-mode Bose gas: Beyond classical squeezing
journal, June 2010

Nonlinear correction to the boson Josephson-junction model
journal, August 2008

Interferometric detection of optical phase shifts at the Heisenberg limit
journal, August 1993

Squeezed spin states
journal, June 1993

Tunneling, self-trapping, and manipulation of higher modes of a Bose-Einstein condensate in a double well
journal, February 2014

Number fluctuations of cold, spatially split bosonic objects
journal, November 2011

GPELab, a Matlab toolbox to solve Gross–Pitaevskii equations I: Computation of stationary solutions
journal, November 2014

Multi-orbital and density-induced tunneling of bosons in optical lattices
journal, March 2012

Entanglement-assisted atomic clock beyond the projection noise limit
journal, June 2010