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In quantum gases, weak links are typically realized with externally imposed optical potentials. We show that, in rotating binary condensates, quantized vortices in one component form hollow channels that act as self-induced weak links for…

Quantum Gases · Physics 2026-02-03 Natalia Masalaeva , Wyatt Kirkby , Francesca Ferlaino , Russell N. Bisset

We investigate the behavior of a two dimensional array of Bose-Einstein condensate tubes described by means of a Bose-Hubbard Hamiltonian. Using a Wannier function expansion for the wavefunction in each tube, we compute the Bose-Hubbard…

Quantum Gases · Physics 2010-07-05 A. Cetoli , E. Lundh

Quantum simulations of the Bose-Hubbard model (BHM) at commensurate filling can follow spreading of correlations after a sudden quench for times long enough to estimate their propagation velocities. In this work we perform tensor network…

Quantum Gases · Physics 2023-05-03 Jacek Dziarmaga , Jakub M. Mazur

When matter undergoes a continuous phase transition on a finite timescale, the Kibble-Zurek mechanism predicts universal scaling behavior with respect to structure formation. The scaling is dependent on the universality class and is…

Quantum Gases · Physics 2019-02-07 Yiping Chen , Munekazu Horikoshi , Kosuke Yoshioka , Makoto Kuwata-Gonokami

The phase diagram of a single component Bose system in a lattice at zero temperature is obtained. We calculate the variational energies for the Mott insulating and superfluid phases. Below a certain critical density, which depends…

Soft Condensed Matter · Physics 2009-11-10 Zaira Nazario , David I. Santiago

The crossing of a continuous phase transition gives rise to the formation of topological defects described by the Kibble-Zurek mechanism (KZM) in the limit of slow quenches. The KZM predicts a universal power-law scaling of the defect…

Statistical Mechanics · Physics 2023-05-04 Hua-Bi Zeng , Chuan-Yin Xia , Adolfo del Campo

We study the dynamics of the Mott insulator-superfluid quantum phase transition in a periodic 1D array of Josephson junctions. We show that crossing the critical point diabatically i.e. at a finite rate with a quench time $\tau_Q$ induces…

Condensed Matter · Physics 2009-11-07 J. Dziarmaga , A. Smerzi , W. H. Zurek , A. R. Bishop

Symmetry breaking phase transitions from less to more ordered phases will typically produce topological defects in the ordered phase. Kibble-Zurek theory predicts that for any second-order phase transition, such as the early universe, the…

Mesoscale and Nanoscale Physics · Physics 2026-03-17 Alexander J. Shook , Daksh Malhotra , Aymar Muhikira , Vaisakh Vadakkumbatt , John P. Davis

We explore the quench dynamics of a binary Bose-Einstein condensate crossing the miscibility-immiscibility threshold and vice versa, both within and in particular beyond the mean-field approximation. Increasing the interspecies repulsion…

Quantum Gases · Physics 2018-06-05 S. I. Mistakidis , G. C. Katsimiga , P. G. Kevrekidis , P. Schmelcher

According to the Kibble-Zurek mechanism, there is a universal power-law relationship between the defect density and the quench rate during a slow linear quench through a critical point. It is generally accepted that a fast quench results in…

Quantum Physics · Physics 2024-07-22 Han-Chuan Kou , Peng Li

We study the quasiadiabatic dynamics of a one-dimensional system of ultracold bosonic atoms loaded in an optical superlattice. Focusing on a slow linear variation in time of the superlattice potential, the system is driven from a…

Quantum Gases · Physics 2015-10-02 A. Dhar , D. Rossini , B. P. Das

We demonstrate that the evolution of superflows in interacting persistent currents of ultracold gases is strongly affected by symmetry breaking of the quantum vortex dynamics. We study counter-propagating superflows in a system of two…

Quantum Gases · Physics 2019-10-22 Artem Oliinyk , Igor Yatsuta , Boris Malomed , Alexander Yakimenko

The formation of topological defects during continuous second-order phase transitions is well described by the Kibble-Zurek mechanism (KZM). However, when the spontaneously broken symmetry is only approximate, such transitions become smooth…

Statistical Mechanics · Physics 2026-02-06 Peng Yang , Chuan-Yin Xia , Sebastian Grieninger , Hua-Bi Zeng , Matteo Baggioli

For a system at a temperature of absolute zero, all thermal fluctuations are frozen out, while quantum fluctuations prevail. These microscopic quantum fluctuations can induce a macroscopic phase transition in the ground state of a many-body…

Quantum Gases · Physics 2025-06-27 Markus Greiner , Olaf Mandel , Tilman Esslinger , Theodor W Hänsch , Immanuel Bloch

We investigate the quench dynamics in the dipolar Bose-Hubbard model (DBHM) in one dimension. The boson hopping is constrained by dipole conservation and show fractonic dynamics. The ground states at large Hubbard interaction $U$ are Mott…

Quantum Gases · Physics 2024-08-07 Yun-Tak Oh , Jung Hoon Han , Hyun-Yong Lee

We investigate the quench dynamics of the dipolar bosons in two dimensional optical lattice of square geometry using the time dependent Gutzwiller method. The system exhibits different density orders like the checkerboard and the striped…

Quantum Gases · Physics 2021-06-22 Hrushikesh Sable , Deepak Gaur , Soumik Bandyopadhyay , Rejish Nath , D. Angom

We investigate the time evolution of correlations in the Bose-Hubbard model following a quench from the superfluid to the Mott insulating phase. For large values of the final interaction strength the system approaches a distinctly…

Other Condensed Matter · Physics 2007-05-23 Corinna Kollath , Andreas Laeuchli , Ehud Altman

We numerically study the superfluid to Mott insulator transition for bosonic atoms in a one dimensional lattice by exploiting a recently developed simulation method for strongly correlated systems. We demonstrate this methods accuracy and…

Soft Condensed Matter · Physics 2009-11-10 S. R. Clark , D. Jaksch

We obtain the dynamics in number and phase difference, for Bose condensates that tunnel between two wells of a double-well atomic trap, using the (nonlinear) Gross-Pitaevskii equation.The dynamical equations are of the canonical form for…

Other Condensed Matter · Physics 2015-06-25 Subodh R. Shenoy

We study the dynamics of the relative phase of a bilayer of two-dimensional superfluids after the two superfluids have been decoupled, using truncated Wigner approximation. On short time scales the relative phase shows "light cone" like…

Quantum Gases · Physics 2013-05-29 L. Mathey , A. Polkovnikov