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The formation of vortex loops (global cosmic strings) in an O(2) linear sigma model in three spatial dimensions is analyzed numerically. For over-damped Langevin dynamics we find that defect production is suppressed by an interaction…

Statistical Mechanics · Physics 2009-11-07 Mark Bowick , Angelo Cacciuto , Alex Travesset

We explore the experimental implications of a recent theory of the quantum dynamics of vortices in superfluids proximate to Mott insulators (cond-mat/0408329 and cond-mat/0409470). The theory predicts modulations in the local density of…

Strongly Correlated Electrons · Physics 2007-05-23 Lorenz Bartosch , Leon Balents , Subir Sachdev

Resorting to the the Laplace center gauge (LCG) and to the Maximal-center gauge (MCG), respectively, confining vortices are defined by center projection in either case. Vortex properties are investigated in the continuum limit of SU(2)…

High Energy Physics - Lattice · Physics 2014-11-17 K. Langfeld , H. Reinhardt , A. Schafke

We present the first measurement of the vortex free-energy order parameter at weak coupling for SU(2) in simulations employing multihistogram methods. The result shows that the excitation probability for a sufficiently thick vortex in the…

High Energy Physics - Lattice · Physics 2009-10-31 T. G. Kovacs , E. T. Tomboulis

We consider a two-dimensional (2D) counterpart of the experiment that led to the creation of quasi-1D bright solitons in Bose-Einstein condensates (BECs) [Nature 417, 150--153 (2002)]. We start by identifying the ground state of the 2D…

Pattern Formation and Solitons · Physics 2015-06-11 Qian-Yong Chen , P. G. Kevrekidis , Boris A. Malomed

Topological defects such as dislocations and disclinations are predicted to determine the twodimensional (2-D) melting transition. In 2-D superconducting vortex lattices, macroscopic measurements evidence melting close to the transition to…

We derive an effective action for the vortex position degree-of-freedom in a superfluid by integrating out condensate phase and density fluctuation environmental modes. When the quantum dynamics of environmental fluctuations is neglected,…

Quantum Gases · Physics 2015-05-14 C. -C. Joseph Wang , R. A. Duine , A. H. MacDonald

We report the observation of vortex nucleation in a rotating optical lattice. A 87Rb Bose-Einstein condensate was loaded into a static two-dimensional lattice and the rotation frequency of the lattice was then increased from zero. We…

Quantum Gases · Physics 2010-02-05 R. A. Williams , S. Al-Assam , C. J. Foot

We investigate theoretically the creation, persistence and detection of quantized vortices in nonequilibrium polariton condensates within a stochastic classical field model. The life time of the quantized vortices is shown to increase with…

Quantum Gases · Physics 2009-04-21 Michiel Wouters , Vincenzo Savona

We study the normal modes of a two-dimensional rotating Bose-Einstein condensate confined in a quadratic plus quartic trap. Hydrodynamic theory and sum rules are used to derive analytical predictions for the collective frequencies in the…

Statistical Mechanics · Physics 2009-11-10 M. Cozzini , A. L. Fetter , B. Jackson , S. Stringari

The contribution of nontrivial vacuum (topological) excitations, more specifically vortex configurations of the self-dual Chern-Simons-Higgs model, to the functional partition function is considered. By using a duality transformation, we…

High Energy Physics - Theory · Physics 2008-11-07 Rudnei O. Ramos , J. F. Medeiros Neto

We examine the steady state of turbulent flows in thin layers using direct numerical simulations. It is shown that when the layer thickness is smaller than a critical height, an inverse cascade arises which leads to the formation of a…

Fluid Dynamics · Physics 2019-03-14 Adrian van Kan , Alexandros Alexakis

We study numerically the dynamics of two-dimensional vortex systems at zero temperature. In addition to pinned states and turbulent plastic flow, we find motion of vortices in rough channels along the direction of the driving force. In this…

Condensed Matter · Physics 2009-11-07 Hans Fangohr , Simon J. Cox , Peter A. J. de Groot

We evaluate the thermodynamic critical angular velocity Omega_c(T) for creation of a vortex of lowest quantized angular momentum in a strictly two-dimensional Bose gas at temperature T, using a mean-field two-fluid model for the condensate…

Other Condensed Matter · Physics 2007-05-23 K. K. Rajagopal , B. Tanatar , P. Vignolo , M. P. Tosi

Scalar electrodynamics can be used to investigate the formation of cosmic strings in the early universe. We present the results of lattice Monte Carlo simulations of an effective three-dimensional U(1)+Higgs theory that describes the…

High Energy Physics - Lattice · Physics 2007-05-23 A. Rajantie , K. Kajantie , M. Karjalainen , M. Laine , J. Peisa

We use lattice Monte Carlo simulations to study non-perturbatively the tension, i.e. the free energy per unit length, of an infinitely long vortex in the three-dimensional U(1)+Higgs theory. This theory is the low-energy effective theory of…

High Energy Physics - Phenomenology · Physics 2009-10-31 K. Kajantie , M. Laine , T. Neuhaus , J. Peisa , A. Rajantie , K. Rummukainen

For SU(2) lattice gauge theory, a new SO(3) cooling procedure is proposed which removes the SU(2)/Z(2) coset fields from the lattice configurations and reveals a Z(2) vortex vacuum texture different from the P-vortex content obtained in the…

High Energy Physics - Lattice · Physics 2016-09-01 K. Langfeld , E. -M. Ilgenfritz , H. Reinhardt

We numerically study the finite-size droplet condensation-evaporation transition in two dimensions. We consider and compare two orthogonal approaches, namely at fixed temperature and at fixed density, making use of parallel multicanonical…

Statistical Mechanics · Physics 2017-01-13 Andreas Nußbaumer , Johannes Zierenberg , Elmar Bittner , Wolfhard Janke

We investigate vortex excitations in dilute Bose-Einstein condensates in the presence of complex $\mathcal{PT}$-symmetric potentials. These complex potentials are used to describe a balanced gain and loss of particles and allow for an…

Quantum Physics · Physics 2017-05-16 Lukas Schwarz , Holger Cartarius , Ziad H. Musslimani , Jörg Main , Günter Wunner

We build a minimal model of dissipative vortex dynamics in two spatial dimensions, subject to a kinematic constraint: dipole conservation. The additional conservation law implies anomalously slow decay rates for vortices. We argue that this…

Statistical Mechanics · Physics 2023-10-03 Marvin Qi , Andrew Lucas