Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physica B Condensed Matter

A quantum phase transition in a model with boson-controlled hopping

David M. Edwards

Published Feb 21, 2006• 31 citations
Publisher
DOI
10.1016/j.physb.2006.01.307

Related papers

Quantum phase transitions in the interacting boson model

Pavel Cejnar, Jan Jolie

arXiv:0807.3467•Progress in Particle and Nuclear Physics•Aug 16, 2008•216 citations

Engineering Quantum Phases of Ultracold Bosons on Lieb Lattice

Yang Lin

Abstract The quantum phase transition of the hardcore boson model on a Lieb lattice by quantum Monte Carlo simulations is studied. Considering nearest‐neighbor interchain hopping, the phase diagram of the Bose‐Hubbard model on the Lieb lattice contains solid phases with average density = 2/3, and superfluid phases between solid phases.Two ways of controlling quantum states are discussed: to add an alternating on‐site potential, and to add an alternating hopping amplitude in the X‐ and Y‐directions. For the above cases, there exists a new filling state, = 1/3. Adding an alternating on‐site potential to the Hamiltonian, the phase transition from to is sharp and discontinuous, featuring the nature of a first order. Considering a dimerization term, for large V, it is expected that there is a direct transition from the valence‐bond insulator to the CDW as the interaction is strengthened. For the three cases, upper boundary for and lower boundary for are calculated.

Fortschritte der Physik•Dec 21, 2024•0 citations

Bosonization study of quantum phase transitions in the one-dimensional asymmetric Hubbard model

Z. G. Wang, Yong-Gui Chen, S. J. Gu

The quantum phase transitions in the one-dimensional asymmetric Hubbard model are investigated with the bosonization approach. The conditions for the phase transition from density wave to phase separation, the correlation functions, and their exponents are obtained analytically. Our results show that the difference between the hopping integrals for up- and down-spin electrons is crucial for the occurrence of the phase separation. When the difference is large enough, the phase separation will appear even if the on-site interaction is small.

arXiv:0705.1611•Physical Review B•Apr 17, 2007•19 citations

Quantum Phase Transition in the Spin Boson Model

Serge Florens, D. Venturelli, R. Narayanan

arXiv:1106.2654•Lecture notes in physics•Jan 1, 2010•16 citations

Absence of Single-Particle Bose-Einstein Condensation at Low Densities for Bosons with Correlated Hopping

Rachel Bendjama, Brijesh Kumar, Frédéric Mila

Motivated by the physics of mobile triplets in frustrated quantum magnets, the properties of a two-dimensional model of bosons with correlated hopping are investigated. A mean-field analysis reveals the presence of a pairing phase without single-particle Bose-Einstein condensation (BEC) at low densities for sufficiently strong correlated hopping, and of an Ising quantum phase transition towards a BEC phase at larger density. The physical arguments supporting the mean-field results and their implications for bosonic and quantum spin systems are discussed.

arXiv:cond-mat/0507010•Physical Review Letters•Sep 9, 2005•24 citations

Dynamical quantum phase transitions in a system of interacting bosons

Sebastian Stumper, Michael Thoss, Junichi Okamoto

Bulletin of the American Physical Society•Mar 16, 2021•0 citations
Abstract The quantum phase transition of the hardcore boson model on a Lieb lattice by quantum Monte Carlo simulations is studied. Considering nearest‐neighbor interchain hopping, the phase diagram of the Bose‐Hubbard model on the Lieb lattice contains solid phases with average density = 2/3, and superfluid phases between solid phases.Two ways of controlling quantum states are discussed: to add an alternating on‐site potential, and to add an alternating hopping amplitude in the X‐ and Y‐directions. For the above cases, there exists a new filling state, = 1/3. Adding an alternating on‐site potential to the Hamiltonian, the phase transition from to is sharp and discontinuous, featuring the nature of a first order. Considering a dimerization term, for large V, it is expected that there is a direct transition from the valence‐bond insulator to the CDW as the interaction is strengthened. For the three cases, upper boundary for and lower boundary for are calculated.
The quantum phase transitions in the one-dimensional asymmetric Hubbard model are investigated with the bosonization approach. The conditions for the phase transition from density wave to phase separation, the correlation functions, and their exponents are obtained analytically. Our results show that the difference between the hopping integrals for up- and down-spin electrons is crucial for the occurrence of the phase separation. When the difference is large enough, the phase separation will appear even if the on-site interaction is small.
Motivated by the physics of mobile triplets in frustrated quantum magnets, the properties of a two-dimensional model of bosons with correlated hopping are investigated. A mean-field analysis reveals the presence of a pairing phase without single-particle Bose-Einstein condensation (BEC) at low densities for sufficiently strong correlated hopping, and of an Ising quantum phase transition towards a BEC phase at larger density. The physical arguments supporting the mean-field results and their implications for bosonic and quantum spin systems are discussed.