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We study the occurrence of limit cycles from a point on the discontinuity hyperplane $L$ between two smooth vector fields where the two vector fields both point towards one another. Generically, such a point (called switched equilibrium in…

Dynamical Systems · Mathematics 2025-11-05 Oleg Makarenkov , Esther Widiasih

We consider driven many-particle models which have a phase transition between an active and an absorbing phase. Like previously studied models, we have particle conservation, but here we introduce an additional symmetry - when two particles…

Statistical Mechanics · Physics 2017-01-18 Daniel Hexner , Dov Levine

We discuss topological phase transitions in ultra-cold Fermi superfluids induced by interactions and artificial spin orbit fields. We construct the phase diagram for population imbalanced systems at zero and finite temperatures, and analyze…

Quantum Gases · Physics 2012-11-13 Kangjun Seo , Li Han , C. A. R. Sá de Melo

The dynamics of an atomic few-level system can depend on the phase of driving fields coupled to the atom if certain conditions are satisfied. This is of particular interest to control interference effects, which can alter the system…

Quantum Physics · Physics 2009-11-11 Joerg Evers

In one-dimensional systems a twisted superfluid phase is found which is induced by a spontaneous breaking of the time-reversal symmetry. Using the density-matrix renormalization group allows us to show that the excitation energy gap closes…

Quantum Gases · Physics 2016-07-22 Dirk-Sören Lühmann

Fast-slow systems with three slow variables and gradient structure in the fast variables have, generically, hyperbolic umbilic, elliptic umbilic or swallowtail singularities. In this article we provide a detailed local analysis of a…

Dynamical Systems · Mathematics 2024-08-20 Hildeberto Jardón-Kojakhmetov , Christian Kuehn , Maximilian Steinert

In this work we identify and investigate a novel bifurcation in conserved systems. This secondary bifurcation stops active phase separation in its nonlinear regime. It is then either replaced by an extended, system-filling, spatially…

Pattern Formation and Solitons · Physics 2022-02-22 Frederik J. Thomsen , Lisa Rapp , Fabian Bergmann , Walter Zimmermann

In this paper, we study the exact dynamics of open quantum systems to the case with periodic driving field. It is shown that different from the static adjustment of the system on-site energy that can either generate or destroy the…

Quantum Physics · Physics 2021-06-08 Fei-Lei Xiong , Wei-Min Zhang

We present the study of bound surface modes sustained at the termination of truncated bulk dielectric photonic crystals and isolated metasurfaces of dielectric meta-atoms. We discuss the origins of bound modes in the two systems and their…

Applied Physics · Physics 2019-08-21 Anna C. Tasolamprou , Maria Kafesaki , Thomas Koschny , Costas M. Soukoulis

We have observed well-defined phase slips between quantized persistent current states around a toroidal atomic (23Na) Bose-Einstein condensate. These phase slips are induced by a weak link (a localized region of reduced superfluid density)…

Quantum Gases · Physics 2013-12-06 K. C. Wright , R. B. Blakestad , C. J. Lobb , W. D. Phillips , G. K. Campbell

Two known distinct examples of one-dimensional systems which are known to exhibit a phase transition are critically examined: (A) a lattice model with harmonic nearest-neighbor elastic interactions and an on-site Morse potential, and (B)…

Statistical Mechanics · Physics 2007-06-17 N. Theodorakopoulos

Bound states and their influence on the dynamics of an one-dimensional tight-binding system subject to environments are studied in this paper. We identify specifically three kinds of bound states. The first is a discrete bound state (DBS),…

Quantum Physics · Physics 2020-09-16 H. T. Cui , H. Z. Shen , M. Qin , X. X. Yi

While classical theory of phase transitions deals with systems where shape variation is energetically neutral, the account of rigidity can lead to the emergence of new thermodynamic features. One of them is a special type of critical points…

Materials Science · Physics 2024-04-18 Yury Grabovsky , Lev Truskinovsky

The mechanisms governing the low-frequency unsteadiness in the shock wave/turbulent boundary layer interaction at Mach 2 are considered. The investigation is conducted based on the numerical database issued from large-eddy simulations…

Fluid Dynamics · Physics 2021-07-07 Kenzo Sasaki , Diogo C. Barros , André V. G. Cavalieri , Lionel Larchevêque

Superradiant phase transition represents an important quantum phenomenon that shows the collective excitations based on the coupling between atoms and cavity modes. The spin-orbit coupling is another quantum effect which induced from the…

Quantum Gases · Physics 2021-05-26 Ying Lei , Shaoliang Zhang

The driven Dicke model, wherein an ensemble of atoms is driven by an external field and undergoes collective spontaneous emission due to coupling to a leaky cavity mode, is a paradigmatic example of a system exhibiting a driven-dissipative…

The traditional concept of phase transitions has, in recent years, been widened in a number of interesting ways. The concept of a topological phase transition separating phases with a different ground state topology, rather than phases of…

Mesoscale and Nanoscale Physics · Physics 2019-10-24 N. Sedlmayr

The crossing of a transition state in a multidimensional reactive system is mediated by invariant geometric objects in phase space: An invariant hyper-sphere that represents the transition state itself and invariant hyper-cylinders that…

Chaotic Dynamics · Physics 2013-04-29 Ali Allahem , Thomas Bartsch

Pinning and depinning of wavefronts are ubiquitous features of spatially discrete systems describing a host of phenomena in physics, biology, etc. A large class of discrete systems is described by overdamped chains of nonlinear oscillators…

Materials Science · Physics 2009-11-07 A. Carpio , L. L. Bonilla

The critical behavior of many physical systems involves two competing $n^{}_1-$ and $n^{}_2-$component order-parameters, ${\bf S}^{}_1$ and ${\bf S}^{}_2$, respectively, with $n=n^{}_1+n^{}_2$. Varying an external control parameter $g$,…

Statistical Mechanics · Physics 2022-06-22 A. Aharony , O. Entin-Wohlman , A. Kudlis