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

arXiv:cond-mat/0401041 · Lecture notes in physics

Quantum phases and phase transitions of Mott insulators

Subir Sachdev A

Published Jan 1, 2004• 19 citations
arXivHTMLPDF
DOI
10.1007/bfb0119599

Related papers

Dynamics of superfluid to Mott-insulator phase transitions in spinor gases

Zachary Shaw, Lichao Zhao, Zihe Chen +2 more

APS•May 1, 2019•0 citations

First-order superfluid-to-Mott-insulator phase transitions in spinor condensates

Jie Jiang, Lichao Zhao, Sheng-Tao Wang +4 more

We observe evidence of first-order superfluid-to-Mott-insulator quantum phase transitions in a lattice-confined antiferromagnetic spinor Bose-Einstein condensate. The observed signatures include the hysteresis effect, significant heatings across the phase transitions, and changes in spin populations due to the formation of spin singlets in the Mott-insulator phase. The nature of the phase transitions is found to strongly depend on the ratio of the quadratic Zeeman energy to the spin-dependent interaction. Our observations are qualitatively understood by the mean field theory and suggest tuning the quadratic Zeeman energy is a new approach to realize superfluid-to-Mott-insulator phase transitions.

arXiv:1512.04550•Physical Review A•Jun 7, 2016•24 citations

Quantum Phase transitions in Hubbard lattices

Matteo Rizzi, Rosario Fazio

•Jan 1, 2007•1 citation

Observation of 2D Mott insulator and $π$-superfluid quantum phase transition in shaking optical lattice

Jingxin Sun, Pengju Zhao, Zhongshu Hu +4 more

The Mott insulator and superfluid phase transition is one of the most prominent phenomena in ultracold atoms. In this work, we report the observation of a novel 2D quantum phase transition between Mott insulator and $π$ superfluid in a shaking optical lattice. In the deep optical lattice regime, the lowest $s$-band can be tuned to Mott phase, while the higher $p_{x,y}$ bands are itinerant for having larger bandwidth. Through a shaking technique coupling the $s$ orbital to $p_{x,y}$ orbital states, we experimentally observe the transition between the states of the $s$ and $p_{x,y}$ bands, leading to a quantum phase transition from 2D $s$-orbital Mott phase to the $p_{x,y}$-orbital superfluid which condensed at $(π,π)$ momentum.

arXiv:2306.04477•Jun 7, 2023•0 citations

Quantum criticality at a Mott-Hubbard Metal-Insulator Transition

Arnab Banerjee, D. M. Silevitch, Alexander Palmer +2 more

Bulletin of the American Physical Society•Mar 2, 2012•0 citations

Mean-field theory for the Mott-insulator–paired-superfluid phase transition in the two-species Bose-Hubbard model

M. Iskin

The standard mean-field theory for the Mott-insulator--superfluid phase transition is not sufficient to describe the Mott-insulator--paired-superfluid phase transition. Therefore, by restricting the two-species Bose-Hubbard Hamiltonian to the subspace of paired particles, and using perturbation theory, here we derive an analytic mean-field expression for the Mott-insulator--paired-superfluid transition boundary.

arXiv:1010.2688•Physical Review A•Nov 12, 2010•7 citations
We observe evidence of first-order superfluid-to-Mott-insulator quantum phase transitions in a lattice-confined antiferromagnetic spinor Bose-Einstein condensate. The observed signatures include the hysteresis effect, significant heatings across the phase transitions, and changes in spin populations due to the formation of spin singlets in the Mott-insulator phase. The nature of the phase transitions is found to strongly depend on the ratio of the quadratic Zeeman energy to the spin-dependent interaction. Our observations are qualitatively understood by the mean field theory and suggest tuning the quadratic Zeeman energy is a new approach to realize superfluid-to-Mott-insulator phase transitions.
Observation of 2D Mott insulator and πππ-superfluid quantum phase transition in shaking optical lattice
The Mott insulator and superfluid phase transition is one of the most prominent phenomena in ultracold atoms. In this work, we report the observation of a novel 2D quantum phase transition between Mott insulator and πππ superfluid in a shaking optical lattice. In the deep optical lattice regime, the lowest sss-band can be tuned to Mott phase, while the higher px,yp_{x,y}px,y​ bands are itinerant for having larger bandwidth. Through a shaking technique coupling the sss orbital to px,yp_{x,y}px,y​ orbital states, we experimentally observe the transition between the states of the sss and px,yp_{x,y}px,y​ bands, leading to a quantum phase transition from 2D sss-orbital Mott phase to the px,yp_{x,y}px,y​-orbital superfluid which condensed at (π,π)(π,π)(π,π) momentum.