Fragmented Many-Body Ground States for Scalar Bosons in a Single Trap

Type: Article

Publication Date: 2009-08-05

Citations: 81

DOI: https://doi.org/10.1103/physrevlett.103.060402

View Chat PDF

Abstract

We investigate whether the many-body ground states of bosons in a generalized two-mode model with localized inhomogeneous single-particle orbitals and anisotropic long-range interactions (e.g., dipole-dipole interactions) are coherent or fragmented. It is demonstrated that fragmentation can take place in a single trap for positive values of the interaction couplings, implying that the system is potentially stable. Furthermore, the degree of fragmentation is shown to be insensitive to small perturbations on the single-particle level.

Locations

  • Physical Review Letters - View
  • arXiv (Cornell University) - View - PDF
  • PubMed - View
  • DataCite API - View

Similar Works

Action Title Year Authors
+ Fragmented many-body ground states in a single trap for bosons with long-range interactions 2008 Philipp Bader
Uwe R. Fischer
+ PDF Chat Robustness of fragmented condensate many-body states for continuous distribution amplitudes in Fock space 2013 Uwe R. Fischer
Bo Xiong
+ Out of equilibrium many-body expansion dynamics of strongly interacting bosons 2022 Rhombik Roy
Barnali Chakrabarti
A. Gammal
+ Bosons with attractive interactions in a trap: Is the ground state fragmented ? 1998 Oe. Elgaroey
C. J. Pethick
+ PDF Chat Ultracold few-boson systems in a double-well trap 2006 Sascha Zöllner
Hans‐Dieter Meyer
Peter Schmelcher
+ PDF Chat Quantum correlations and degeneracy of identical bosons in a two-dimensional harmonic trap 2017 Pere Mujal
Enric Sarlé
A. Polls
Bruno Juliá-Díaz
+ PDF Chat General variational many-body theory with complete self-consistency for trapped bosonic systems 2006 Alexej I. Streltsov
Ofir E. Alon
Lorenz S. Cederbaum
+ PDF Chat Strongly Interacting Few-Fermion Systems in a Trap 2015 C. Forssén
Rikard Lundmark
J. Rotureau
Jonathan Larsson
David Lidberg
+ PDF Chat Generic regimes of quantum many-body dynamics of trapped bosonic systems with strong repulsive interactions 2014 Oksana Streltsova
Ofir E. Alon
Lorenz S. Cederbaum
Alexej I. Streltsov
+ Effects of finite-range Gaussian repulsion on trapped many-boson system 2016 Mohd. Imran
M. A. H. Ahsan
+ PDF Chat Ground state and vortex states of bosons in an anisotropic trap: A variational approach 1999 Manjeet Singh
A. L. Satheesha
+ PDF Chat Many-body excitation spectra of trapped bosons with general interaction by linear response 2015 Ofir E. Alon
+ PDF Chat Quantum dynamics of two bosons in an anharmonic trap: Collective versus internal excitations 2007 Christian Matthies
Sascha Zöllner
Hans‐Dieter Meyer
Peter Schmelcher
+ PDF Chat Coupled-cluster theory for systems of bosons in external traps 2006 Lorenz S. Cederbaum
Ofir E. Alon
Alexej I. Streltsov
+ PDF Chat Fragmented many-body states of definite angular momentum and stability of attractive three-dimensional condensates 2010 M. C. Tsatsos
Alexej I. Streltsov
Ofir E. Alon
Lorenz S. Cederbaum
+ Interacting ultracold few-boson systems 2019 Pere Mujal Torreblanca
+ PDF Chat Multiconfigurational time-dependent Hartree method for bosons with internal degrees of freedom: Theory and composite fragmentation of multicomponent Bose-Einstein condensates 2016 Axel U. J. Lode
+ PDF Chat Truncated many-body dynamics of interacting bosons: A variational principle with error monitoring 2014 Kang Soo Lee
Uwe R. Fischer
+ Fragmentation of a trapped bosonic mixture 2022 Ofir E. Alon
Lorenz S. Cederbaum
+ PDF Chat The Excitation Spectrum for Weakly Interacting Bosons in a Trap 2013 Philip Grech
Robert Seiringer

Cited by (62)

Action Title Year Authors
+ PDF Chat Impact of the range of the interaction on the quantum dynamics of a bosonic Josephson junction 2018 Sudip Kumar Haldar
Ofir E. Alon
+ PDF Chat Number-squeezed and fragmented states of strongly interacting bosons in a double well 2017 Joel Corbo Joel Corbo
Jonathan Dubois
K. Birgitta Whaley
+ PDF Chat Self-consistent determination of the many-body state of ultracold bosonic atoms in a one-dimensional harmonic trap 2019 Oleksandr V. Marchukov
Uwe R. Fischer
+ PDF Chat Spatially-partitioned many-body vortices 2016 Shachar Klaiman
Ofir E. Alon
+ PDF Chat Fragmentation and correlations in a rotating Bose–Einstein condensate undergoing breakup 2023 Sunayana Dutta
Axel U. J. Lode
Ofir E. Alon
+ Many-body physics in two-component Bose–Einstein condensates in a cavity: fragmented superradiance and polarization 2018 Axel U. J. Lode
Fritz Diorico
Wu RuGway
Paolo Molignini
Luca Papariello
Rui Lin
Camille Lévêque
Lukas Exl
Marios C. Tsatsos
R. Chitra
+ PDF Chat Interacting trapped bosons yield fragmented condensate states in low dimensions 2010 Uwe R. Fischer
Philipp Bader
+ PDF Chat Stability of spherically trapped three-dimensional Bose-Einstein condensates against macroscopic fragmentation 2013 Philipp Bader
Uwe R. Fischer
+ PDF Chat Many-body quantum metrology with scalar bosons in a single potential well 2019 Julien Mathieu Elias Fraïsse
Jae-Gyun Baak
Uwe R. Fischer
+ PDF Chat Multiconfigurational time-dependent Hartree method for bosons with internal degrees of freedom: Theory and composite fragmentation of multicomponent Bose-Einstein condensates 2016 Axel U. J. Lode
+ PDF Chat Preparation of a heteronuclear two-atom system in the three-dimensional ground state in an optical tweezer 2019 Kunpeng Wang
Xiaodong He
Ruijun Guo
Peng Xu
Cheng Sheng
Jun Zhuang
Zongyuan Xiong
Min Liu
Jin Wang
Mingsheng Zhan
+ PDF Chat Extended two-site Bose–Hubbard model with pair tunneling: spontaneous symmetry breaking, effective ground state and fragmentation 2015 Qizhong Zhu
Qi Zhang
Biao Wu
+ PDF Chat Quantum coherence for Bose-Einstein condensates induced by an imaginary potential 2010 Hongwei Xiong
+ PDF Chat Several localized waves induced by linear interference between a nonlinear plane wave and bright solitons 2018 Yan-Hong Qin
Li-Chen Zhao
Zhan-Ying Yang
Wen‐Li Yang
+ PDF Chat Degeneracy of Many-Body Quantum States in an Optical Lattice under a Uniform Magnetic Field 2010 Jian Zhang
Chao‐Ming Jian
Fei Ye
Hui Zhai
+ PDF Chat Stationary states and quantum quench dynamics of Bose–Einstein condensates in a double-well potential 2015 Linghua Wen
Qizhong Zhu
Tian-Fu Xu
Xili Jing
Cheng-shi Liu
+ PDF Chat Variance of an anisotropic Bose-Einstein condensate 2018 Shachar Klaiman
Raphael Beinke
Lorenz S. Cederbaum
Alexej I. Streltsov
Ofir E. Alon
+ PDF Chat Dynamics of rogue wave excitation pattern on stripe phase backgrounds in a two-component Bose-Einstein condensate 2017 Li-Chen Zhao
Liming Ling
Jian-Wen Qi
Zhan-Ying Yang
Wen‐Li Yang
+ PDF Chat Attractive Bose-Einstein condensates in anharmonic traps: Accurate numerical treatment and the intriguing physics of the variance 2018 Ofir E. Alon
L. S. Cederbaum
+ PDF Chat Quantum dynamics of few dipolar bosons in a double-well potential 2022 Rhombik Roy
Barnali Chakrabarti
Andrea Trombettoni
+ PDF Chat Robust mesoscopic superposition of strongly correlated ultracold atoms 2010 D. W. Hallwood
T. Ernst
Joachim Brand
+ PDF Chat Macroscopic Superpositions as Quantum Ground States 2017 Borivoje Dakić
Milan Radonjić
+ PDF Chat Truncated many-body dynamics of interacting bosons: A variational principle with error monitoring 2014 Kang Soo Lee
Uwe R. Fischer
+ PDF Chat Optimal and near-optimal probe states for quantum metrology of number-conserving two-mode bosonic Hamiltonians 2016 Tyler Volkoff
+ PDF Chat Many-body tunneling dynamics of Bose-Einstein condensates and vortex states in two spatial dimensions 2015 Raphael Beinke
Shachar Klaiman
Lorenz S. Cederbaum
Alexej I. Streltsov
Ofir E. Alon
+ PDF Chat Number fluctuations of cold, spatially split bosonic objects 2011 Kaspar Sakmann
Alexej I. Streltsov
Ofir E. Alon
Lorenz S. Cederbaum
+ PDF Chat Breaking the resilience of a two-dimensional Bose-Einstein condensate to fragmentation 2014 Shachar Klaiman
Axel U. J. Lode
Alexej I. Streltsov
Lorenz S. Cederbaum
Ofir E. Alon
+ PDF Chat Uncertainty product of an out-of-equilibrium Bose-Einstein condensate 2017 Shachar Klaiman
Alexej I. Streltsov
Ofir E. Alon
+ PDF Chat Two-state model for vortex nucleation in a rotating Bose-Einstein condensate 2019 Gunnar Eriksson
J. Bengtsson
G. M. Kavoulakis
S. M. Reimann
+ PDF Chat Dipolar Molecules in Optical Lattices 2012 Tomasz Sowiński
Omjyoti Dutta
Philipp Hauke
Luca Tagliacozzo
Maciej Lewenstein
+ PDF Chat Fragmented Superradiance of a Bose-Einstein Condensate in an Optical Cavity 2017 Axel U. J. Lode
Christoph Bruder
+ PDF Chat Revealing Single-Trap Condensate Fragmentation by Measuring Density-Density Correlations after Time of Flight 2014 Myung-Kyun Kang
Uwe R. Fischer
+ PDF Chat Protected cat states from kinetic driving of a boson gas 2019 Gregor Pieplow
C. E. Creffield
Fernando Sols
+ Many-body quantum dynamics of an asymmetric bosonic Josephson junction 2019 Sudip Kumar Haldar
Ofir E. Alon
+ PDF Chat Fragmentation of a trapped bosonic mixture 2023 Ofir E. Alon
Lorenz S. Cederbaum
+ PDF Chat Condensate fragmentation as a sensitive measure of the quantum many-body behavior of bosons with long-range interactions 2015 Uwe R. Fischer
Axel U. J. Lode
B. Chatterjee
+ PDF Chat Universality of fragmentation in the Schrödinger dynamics of bosonic Josephson junctions 2014 Kaspar Sakmann
Alexej I. Streltsov
Ofir E. Alon
Lorenz S. Cederbaum
+ PDF Chat Fragmentation of spin-orbit-coupled spinor Bose-Einstein condensates 2014 Shu-Wei Song
Yi‐Cai Zhang
Hong Zhao
Xuan Wang
Wu‐Ming Liu
+ PDF Chat On the characterisation of fragmented Bose–Einstein condensation and its emergent effective evolution 2023 Jinyeop Lee
Alessandro Michelangeli
+ PDF Chat Orbital Many-Body Dynamics of Bosons in the Second Bloch Band of an Optical Lattice 2021 José Ismael De la Rosa Vargas
Marlon Nuske
R. Eichberger
C. Hippler
Ludwig Mathey
Andreas Hemmerich

Citing (14)

Action Title Year Authors
+ PDF Chat Do Attractive Bosons Condense? 1998 N. K. Wilkin
John M. Gunn
R. Smith
+ PDF Chat Condensate Fragmentation in a New Exactly Solvable Model for Confined Bosons 2001 J. Dukelsky
P. Schuck
+ PDF Chat Symmetry Breaking and Enhanced Condensate Fraction in a Matter-Wave Bright Soliton 2005 Rina Kanamoto
Hiroki Saito
Masahito Ueda
+ PDF Chat Fragmented Metastable States Exist in an Attractive Bose-Einstein Condensate for Atom Numbers Well above the Critical Number of the Gross-Pitaevskii Theory 2008 L. S. Cederbaum
Alexej I. Streltsov
Ofir E. Alon
+ PDF Chat Fragmented and Single Condensate Ground States of Spin-1 Bose Gas 2000 Tin-Lun Ho
S.-K. Yip
+ PDF Chat Strong dipolar effects in a quantum ferrofluid 2007 Thierry Lahaye
Tobias Koch
Bernd Fröhlich
M. Fattori
Jonas Metz
Axel Griesmaier
S. Giovanazzi
Tilman Pfau
+ PDF Chat Spatial fragmentation of a Bose-Einstein condensate in a double-well potential 1999 Robert W. Spekkens
J. E. Sipe
+ PDF Chat Quantum superposition states of Bose-Einstein condensates 1998 J. I. Cirac
Maciej Lewenstein
Klaus Mølmer
P. Zoller
+ PDF Chat Fragility of fragmentation in Bose-Einstein condensates 2008 A.D. Jackson
G. M. Kavoulakis
Manolis Magiropoulos
+ PDF Chat Cold Bosonic Atoms in Optical Lattices 1998 Dieter Jaksch
Christoph Bruder
J. I. Cirac
C. W. Gardiner
P. Zoller
+ PDF Chat Fragmentation of Bose-Einstein condensates 2006 Erich J. Mueller
Tin-Lun Ho
Masahito Ueda
Gordon Baym
+ PDF Chat Pathway from Condensation via Fragmentation to Fermionization of Cold Bosonic Systems 2005 Ofir E. Alon
Lorenz S. Cederbaum
+ PDF Chat Criterion for Bose-Einstein condensation for particles in traps 2000 C. J. Pethick
Лев П. Питаевский
+ PDF Chat Stability of quasi-two-dimensional Bose-Einstein condensates with dominant dipole-dipole interactions 2006 Uwe R. Fischer