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We investigate the rotational phase diagram of a quasi-two-dimensional, weakly-interacting Bose-Einstein condensate confined in power-law and in hard-wall trapping potentials. For weak interactions, the system undergoes discontinuous…

Quantum Gases · Physics 2026-04-01 G. M. Kavoulakis

We extend a special kind of localized state trapped at the intersection due to the geometric confinement, first proposed in a three-terminal-opening T-shaped structure [Euro. Phys. Lett. {\bf 55}, 539 (2001)], into a ring geometry with a…

Mesoscale and Nanoscale Physics · Physics 2014-08-26 F. Yang , M. W. Wu

We study Anderson localization in a disordered potential combined with an inhomogeneous trap. We show that the spectrum displays both localized and extended states, which coexist at intermediate energies. In the region of coexistence, we…

Other Condensed Matter · Physics 2015-05-19 Luca Pezzé , Laurent Sanchez-Palencia

The search for one-dimensional (1D) topologically-protected electronic states has become an important research goal for condensed matter physics owing to their potential use in spintronic devices or as a building block for topologically…

Mesoscale and Nanoscale Physics · Physics 2018-11-16 Chi Ming Yim , Christopher Trainer , Ana Maldonado , Bernd Braunecker , Alexander Yaresko , Darren C. Peets , Peter Wahl

We study a set of models of self-propelled particles that achieve collective motion through similar alignment-based dynamics, considering versions with and without repulsive interactions that do not affect the heading directions. We explore…

Soft Condensed Matter · Physics 2021-10-27 Yinong Zhao , Thomas Ihle , Zhangang Han , Cristián Huepe , Pawel Romanczuk

The model of strongly correlated electrons with the correlated hopping term and an additional interaction between holes $V$ is solved exactly in one dimension at a special point where the number of hole pairs is conserved. As a function of…

Statistical Mechanics · Physics 2009-10-30 F. C. Alcaraz , R. Z. Bariev

We present a protocol that permits the generation of a subtle with superposition with 2^(l+1) displaced number states on a circle in phase space as target state for the center-of-mass motion of a trapped ion. Through a sequence of 'l'…

Quantum Physics · Physics 2007-05-23 Marcelo A. Marchiolli , Wagner D. Jose

As the simplest non-Fermi liquids, orthogonal metals have gapped single-particle excitations but show normal metallic behaviors in thermodynamic and transport quantities. Such an exotic metallic state could be realized in a Hubbard model…

Strongly Correlated Electrons · Physics 2014-11-05 Yin Zhong , Lan Zhang , Han-Tao Lu , Hong-Gang Luo

Entanglement is a fundamental feature of quantum physics and a key resource for quantum communication, computing and sensing. Entangled states are fragile and maintaining coherence is a central challenge in quantum information processing.…

Quantum Physics · Physics 2023-09-28 Bradley Longstaff , Michael G. Jabbour , Jonatan Bohr Brask

We resonantly excite exciton-polariton states confined in cylindrical traps. Using a homodyne detection setup, we are able to image the phase and amplitude of the confined polariton states. We evidence the excitation of vortex states,…

Higher-order topological phases feature topologically protected boundary states in lower dimensions. Specifically, the zero-dimensional corner states are protected by the $d$th-order topology of a $d$-dimension system. In this work, we…

Mesoscale and Nanoscale Physics · Physics 2018-12-05 Linhu Li , Muhammad Umer , Jiangbin Gong

Topological properties of quantum systems are one of the most intriguing emerging phenomena in condensed matter physics. A crucial property of topological systems is the symmetry-protected robustness towards local noise. Experiments have…

Quantum Physics · Physics 2022-12-05 Guliuxin Jin , Eliska Greplova

We analyze the effect of adding a weak, localized, inhomogeneity to a two dimensional array of oscillators with nonlocal coupling. We propose and also justify a model for the phase dynamics in this system. Our model is a generalization of a…

Analysis of PDEs · Mathematics 2018-11-28 Gabriela Jaramillo , Shankar Venkataramani

The review presents the methods of generation of nonlinear coherent excitations in strongly nonequilibrium Bose-condensed systems of trapped atoms and their properties. Non-ground-state Bose-Einstein condensates are represented by nonlinear…

Quantum Gases · Physics 2023-11-02 V. I. Yukalov , E. P. Yukalova , V. S. Bagnato

The explicit construction of non-dispersive flat band modes and the tunability of has been reported for a hierarchical 3-simplex fractal geometry. A single band tight binding Hamiltonian defined for the deterministic self-similar…

Mesoscale and Nanoscale Physics · Physics 2021-02-08 Atanu Nandy

A recent analysis has revealed singular but physically relevant 2D localized vortex states with density ~ 1/r^{4/3} at r --> 0 and a convergent total norm, which are maintained by the interplay of the potential of the attraction to the…

Quantum Gases · Physics 2021-07-07 Zhaopin Chen , Boris A. Malomed

We consider a binary Bose-Einstein condensate with linear and nonlinear interactions between its components, which emulate the spinor system with spin-orbit (SO) and Rabi couplings. For a relatively dense condensate, 1D coupled equations…

Quantum Gases · Physics 2013-07-29 Luca Salasnich , Boris A. Malomed

Bosonic lattice systems with non-trivial interactions represent an intriguing platform to study exotic phases of matter. Here, we study the effects of extended correlated hopping processes in a system of bosons trapped in a lattice…

We propose a scheme for preparation of entangled coherent states for the motion of an ion in a two-dimensional anisotropic trap. In the scheme, the ion is driven by four laser beams along different directions in the ion trap plane,…

Quantum Physics · Physics 2019-05-14 Zhi-Rong Zhong , Xin-Jie Huang , Zhen-Biao Yang , Li-Tuo Shen , Shi-Biao Zheng

We consider the interplay of repulsive short-range and same-sign long-range interactions in the dynamics of dark solitons, as prototypical coherent nonlinear excitations in a trapped 1D Bose gas. First, the form of the ground state is…

Pattern Formation and Solitons · Physics 2022-03-02 M. Beau , A. del Campo , D. J. Frantzeskakis , T. P. Horikis , P. G. Kevrekidis