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The formation of topological defects after a symmetry-breaking phase transition is an overarching phenomenon that encodes rich information about the underlying dynamics. Kibble-Zurek mechanism (KZM), which describes these nonequilibrium…

When a system crosses a second-order phase transition on a finite timescale, spontaneous symmetry breaking can cause the development of domains with independent order parameters, which then grow and approach each other creating boundary…

Simple causal arguments put forward by Kibble and Zurek suggest that the scaling behaviour of condensed matter at continuous transitions is related to the familiar universality classes of the systems at quasi-equilibrium. Although proposed…

Superconductivity · Physics 2011-05-13 David J. Weir , Ray J. Rivers

We investigate the dynamics of kicked pseudo-spin-1/2 Bose-Einstein condensates (BECs) with spin-orbit coupling (SOC) in a tightly confined toroidal trap. The system exhibits different dynamical behaviors depending on the competition among…

Quantum Gases · Physics 2021-07-06 Qingbo Wang , Wenjing Zhao , Linghua Wen

The hydrodynamic equations of superfluids for a weakly interacting Bose gas are generalized to include the effects of periodic optical potentials produced by stationary laser beams. The new equations are characterized by a renormalized…

Condensed Matter · Physics 2009-11-07 M. Kraemer , L. Pitaevskii , S. Stringari

The combination of strong correlation and emergent lattice can be achieved when quantum gases are confined in a superradiant Fabry-Perot cavity. In addition to the discoveries of exotic phases, such as density wave ordered Mott insulator…

Quantum Gases · Physics 2017-11-15 Yu Chen

We consider a dilute Bose gas confined by a harmonic potential. We define an appropriate thermodynamic limit and analyze the properties of the phases and phase transition in this limit. Critical properties in the presence of the potential…

Condensed Matter · Physics 2009-10-28 Kedar Damle , T. Senthil , Satya N. Majumdar , Subir Sachdev

In this work, we study the quench dynamics of quantum phases of ultracold neutral bosons trapped in optical lattices. We investigate the validity of the Kibble-Zurek (KZ) scaling laws with the single-site Gutzwiller mean-field (SGMF) and…

Quantum Gases · Physics 2023-09-13 Deepak Gaur , Hrushikesh Sable , D. Angom

An array of high-Q electromagnetic resonators coupled to qubits gives rise to the Jaynes-Cummings-Hubbard model describing a superfluid to Mott insulator transition of lattice polaritons. From mean-field and strong coupling expansions, the…

Strongly Correlated Electrons · Physics 2011-10-25 M. Hohenadler , M. Aichhorn , S. Schmidt , L. Pollet

One of the most remarkable recent developments in the study of ultracold Bose gases is the observation of a reversible transition from a Bose Einstein condensate to a state composed of localized atoms as the strength of a periodic, optical…

Statistical Mechanics · Physics 2008-09-23 M. Aizenman , E. H. Lieb , R. Seiringer , J. P. Solovej , J. Yngvason

We find a novel topological defect in a spin-nematic superfluid theoretically. A quantized vortex spontaneously breaks its axisymmetry, leading to an elliptic vortex in nematic-spin Bose-Einstein condensates with small positive quadratic…

Quantum Gases · Physics 2021-05-14 Hiromitsu Takeuchi

Mott insulator to superfluid quenches have been used by recent experiments to generate exotic superfluid phases. While the final Hamiltonian following the sudden quench is that of a superfluid, it is not a priori clear how close the final…

Quantum Gases · Physics 2012-02-02 Jay D. Sau , Bin Wang , S. Das Sarma

We consider interacting bosons in a 2D square and a 3D cubic optical lattice with a periodic modulation of the s-wave scattering length. At first we map the underlying periodically driven Bose-Hubbard model for large enough driving…

We numerically study the dynamical excitations in Bose-Einstein condensate (BEC) placed in periodic and quasi-periodic 2D optical lattice (OL). In case of the repulsive mean-field interaction the BEC quantum tunnelling leads to a…

Pattern Formation and Solitons · Physics 2009-11-13 G. N. Burlak , A. B. Klimov

We consider a mixture of a Bose-Einstein condensate, with a paired Fermi superfluid, confined in a ring potential. We start with the ground state of the two clouds, identifying the boundary between the regimes of their phase separation and…

Quantum Gases · Physics 2020-08-05 M. Ögren , G. M. Kavoulakis

We report on measurements of dynamical suppression of inter-well tunneling of a Bose-Einstein condensate (BEC) in a strongly driven optical lattice. The strong driving is a sinusoidal shaking of the lattice corresponding to a time-varying…

Other Condensed Matter · Physics 2009-11-13 H. Lignier , C. Sias , D. Ciampini , Y. Singh , A. Zenesini , O. Morsch , E. Arimondo

We consider dynamics of a two-component Bose-Einstein condensate where the components correspond to different hyperfine states of the same sort of atoms. External microwave radiation leads to resonant transitions between the states. The…

Quantum Gases · Physics 2014-04-01 Michael Uleysky , Denis Makarov

We report on the first experimental verification of the Zurek-Kibble scenario in an isolated superconducting ring over a wide parameter range. The probability of creating a single flux quantum spontaneously during the fast…

Superconductivity · Physics 2011-01-11 R. Monaco , J. Mygind , R. J. Rivers , V. P. Koshelets

The nonequilibrium ultracold bosonic quantum dynamics in finite optical lattices of unit filling following a linear interaction quench from a superfluid to a Mott insulator state and vice versa is investigated. The resulting dynamical…

Quantum Physics · Physics 2018-06-05 S. I. Mistakidis , G. M. Koutentakis , P. Schmelcher

We investigate the behavior of a one-dimensional Bose-Hubbard model whose kinetic energy is made to oscillate with zero time-average. The effective dynamics is governed by an atypical many-body Hamiltonian where only even-order hopping…

Quantum Gases · Physics 2025-12-04 Jesús Mateos , Gregor Pieplow , Charles Creffield , Fernando Sols