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The magnetic dipole-dipole interaction does not prevent existence of half-quantum vortices in the polar phase of superfluid He-3 which can be stable in uniaxial anisotropic aerogel. Here we discus this exotic possibility. After developing a…

Other Condensed Matter · Physics 2015-06-18 V. P. Mineev

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

Recently new topological phase of superfluid $^3$He has been discovered -- the $\beta$ phase, which is obtained by strong polarization of the nematic polar phase. We consider half-quantum vortices, which are formed in rotating cryostat, and…

Other Condensed Matter · Physics 2022-03-23 G. E. Volovik

Supersaturated superfluid 3He-4He liquid mixture, separating into the 3He-concentrated c-phase and 3He-diluted d-phase, represents a unique possibility for studying macroscopic quantum nucleation and quantum phase-separation kinetics in…

Other Condensed Matter · Physics 2018-11-14 S. N. Burmistrov , L. B. Dubovskii

Ultracold quantum gases are highly controllable and, thus, capable of simulating difficult quantum many-body problems ranging from condensed matter physics to astrophysics. Although experimental realizations have so far been restricted to…

Quantum Gases · Physics 2022-02-17 Andrea Tononi , Axel Pelster , Luca Salasnich

We investigated a two-dimensional superfluid model immersed in a black hole spacetime and hypothesize that if a black hole collides with a thin superfluid film, it will trigger a topological phase transition within the superfluid,…

General Relativity and Quantum Cosmology · Physics 2026-03-19 Cristian R. Ghezzi , Paulo S. Custodio

We study the spontaneous formation of vortices during the superfluid condensation in a trapped fermionic gas subjected to a rapid thermal quench via evaporative cooling. Our work is based on the numerical solution of the time dependent…

Quantum Gases · Physics 2015-03-18 A. Glatz , H. L. L. Roberts , I. S. Aranson , K. Levin

Role of inhomogeneous perturbations of nematic aerogel on the form of the order parameter emerging at the transition of liquid $^3$He in the superfluid state is considered. It is shown that a region of stability of the polar distorted ABM…

Superconductivity · Physics 2021-11-10 I. A. Fomin

The crossing of a continuous phase transition results in the formation of topological defects with a density predicted by the Kibble-Zurek mechanism (KZM). We characterize the spatial distribution of point-like topological defects in the…

Statistical Mechanics · Physics 2022-10-14 Adolfo del Campo , Fernando Javier Gómez-Ruiz , Hai-Qing Zhang

In parallel with Kibble's description of the onset of phase transitions in the early universe, Zurek has provided a simple picture for the onset of phase transitions in condensed matter systems, strongly supported by agreement with…

Superconductivity · Physics 2009-10-31 E. Kavoussanaki , R. Monaco , R. J. Rivers

Out-of-equilibrium phenomena is a subject of considerable interest in many fields of physics. Ultracold quantum gases, which are extremely clean, well-isolated and highly controllable systems, offer ideal platforms to investigate this…

Quantum Gases · Physics 2017-02-01 J. Beugnon , N. Navon

In binary superfluid counterflow systems, vortex nucleation arises as a consequence of hydrodynamic instabilities when the coupling coefficient and counterflow velocity exceed the critical value. When dealing with two identical components,…

Quantum Gases · Physics 2024-01-30 Wei-can Yang , Makoto Tsubota , Hua-bi Zeng

Lars Onsager and Richard Feynman envisioned that the three-dimensional (3D) superfluid-to-normal $\lambda$ transition in $^{4}$He occurs through the proliferation of vortices. This process should hold for every phase transition in the same…

We examine the discontinuous first-order superfluid $^3$He A to B transition in the vicinity of the polycritical point (2.232 mK and 21.22 bar). We find path-dependent transitions: cooling at fixed pressure yields a well defined transition…

Superfluid 3He is an unconventional neutral superfluid in a p-wave state with three different superfluid phases each identified by a unique set of characteristic broken symmetries and non- trivial topology. Despite natural immunity of 3He…

Superconductivity · Physics 2019-05-22 W. P. Halperin

We study strongly supercooled cosmological phase transitions. We perform numerical lattice simulations of two-bubble collisions and demonstrate that, depending on the scalar potential, in the collision the field can either bounce to a false…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-13 Marek Lewicki , Ville Vaskonen

The Kibble-Zurek mechanism (KZM) describes the non-equilibrium dynamics and topological defect formation in systems undergoing second-order phase transitions. KZM has found applications in fields such as cosmology and condensed matter…

Statistical Mechanics · Physics 2025-04-28 Fumika Suzuki , Wojciech H. Zurek

The Kibble-Zurek mechanism (KZM) predicts the spontaneous formation of topological defects in a continuous phase transition driven at a finite rate. We propose the generation of spontaneous quantum turbulence (SQT) via the KZM during…

Quantum Gases · Physics 2025-12-09 Seong-Ho Shinn , Matteo Massaro , Mithun Thudiyangal , Adolfo del Campo

Superfluid 3He-A gives example of how chirality, Weyl fermions, gauge fields and gravity appear in low energy corner together with corresponding symmetries, including Lorentz symmetry and local SU(N). This supports idea that quantum field…

General Relativity and Quantum Cosmology · Physics 2009-10-31 G. E. Volovik

We argue that classical transitions can be the key to explaining the long standing puzzle of the fast A-B phase transition observed in superfluid Helium 3 while standard theory expects it to be unobservably slow. Collisions between domain…

Other Condensed Matter · Physics 2011-10-11 I-Sheng Yang , S. -H. Henry Tye , Benjamin Shlaer