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In one-dimensional quantum lattice models with open boundaries, we find and study localization at the lattice edge. We show that edge-localized eigenstates can be found in both bosonic and fermionic systems, specifically, in the…

Other Condensed Matter · Physics 2009-06-10 Ricardo A. Pinto , Masudul Haque , Sergej Flach

The spectrum and properties of quantum bound states is strongly dependent on the dimensionality of space. How this comes about and how one may theoretically and experimentally study the interpolation between different dimensions is a topic…

Quantum Gases · Physics 2015-01-05 M. T. Yamashita , F. F. Bellotti , T. Frederico , D. V. Fedorov , A. S. Jensen , N. T. Zinner

We investigate the localization properties of the single particle spectrum of a one-dimensional speckle potential in a box. We consider both the repulsive and the attractive cases. The system is controlled by two parameters: the size of the…

Disordered Systems and Neural Networks · Physics 2014-05-08 Jacopo Giacomelli

We consider the Bose-Hubbard model with particle losses at one lattice site. For the non-interacting case, we find that half of the bosons of an initially homogeneous particle distribution, are not affected by dissipation that only acts on…

Quantum Gases · Physics 2015-06-04 Kosmas Kepesidis , Michael J. Hartmann

Non-Hermitian quasicrystal constitutes a unique class of disordered open system with PT-symmetry breaking, localization and topological triple phase transitions. In this work, we uncover the effect of quantum correlation on phase…

Quantum Physics · Physics 2024-02-23 Tian Qian , Yongjian Gu , Longwen Zhou

We establish that the ability of a localized trapping potential to bind weakly-interacting bosons is dramatically enhanced in the vicinity of the threshold of formation of the single-particle bound-state of the trap. Specifically, for…

Other Condensed Matter · Physics 2010-07-30 Joseph P. Straley , Eugene B. Kolomeisky

Isolated quantum systems typically follow the eigenstate thermalization hypothesis, but there are exceptions, such as many-body localized (MBL) systems and quantum many-body scars. Here, we present the study of a weak violation of MBL due…

Disordered Systems and Neural Networks · Physics 2022-12-02 Michael Iversen , N. S. Srivatsa , Anne E. B. Nielsen

We consider a system of interacting bosons in one dimension at a two-body resonance. This system, which is weakly interacting, is known to give rise to effective three-particle interactions, whose dynamics is similar to that of a…

Quantum Gases · Physics 2019-05-22 Manuel Valiente , Volodymyr Pastukhov

Characterizing the delocalization transition in closed quantum systems with a many-body localized phase is a key open question in the field of nonequilibrium physics. We exploit that localization of particles as realized in Anderson and…

Disordered Systems and Neural Networks · Physics 2021-12-17 Miroslav Hopjan , Giuliano Orso , Fabian Heidrich-Meisner

We outline an interferometric scheme for the detection of bi-mode and multi-mode spatial entanglement of finite-temperature,interacting Bose gases of fixed particle number. Whether entanglement is present in the gas depends on the existence…

Quantum Physics · Physics 2013-06-18 J. Goold , Libby Heaney , Th. Busch , V. Vedral

The entanglement entropy of a distinguished region of a quantum many-body system reflects the entanglement present in its pure ground state. In this work, we establish scaling laws for this entanglement for critical quasi-free fermionic and…

Quantum Physics · Physics 2014-11-11 M. Cramer , J. Eisert , M. B. Plenio

The consequences of disorder on interacting bosons trapped in optical lattices are investigated by quantum Monte Carlo simulations. At small to moderate strengths of potential disorder a unique effect is observed: if there is a Mott plateau…

Other Condensed Matter · Physics 2009-11-11 Pinaki Sengupta , Aditya Raghavan , Stephan Haas

We study the localization of particles rotating in a two-dimensional harmonic potential by solving their rotational spectrum using many-particle quantum mechanics and comparing the result to that obtained with quantizing the rigid rotation…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 J. -P. Nikkarila , M. Manninen

An optical speckle potential is used to investigate the static and dynamic properties of a Bose-Einstein condensate in the presence of disorder. For strong disorder the condensate is localized in the deep wells of the potential. With…

Other Condensed Matter · Physics 2009-11-10 J. E. Lye , L. Fallani , M. Modugno , D. Wiersma , C. Fort , M. Inguscio

We carry out a detailed examination of the ground state property of few-boson system in a one-dimensional hard wall potential with a $\delta -$ split in the center. In the Tonks-Girardeau limit with infinite repulsion between particles, we…

Strongly Correlated Electrons · Physics 2008-08-27 Xiangguo Yin , Yajiang Hao , Shu Chen , Yunbo Zhang

We study two-component bosonic systems with strong inter-species and vanishing intra-species interactions. A new class of exact eigenstates is found with energies that are {\it not} sums of the single-particle energies with wave functions…

Quantum Gases · Physics 2014-09-19 N. T. Zinner , A. G. Volosniev , D. V. Fedorov , A. S. Jensen , M. Valiente

We investigate few-boson systems with resonant interactions in a narrow harmonic trap within an effective theory framework. The size of the model space is identified with the effective theory cutoff. In the universal regime, the…

Quantum Gases · Physics 2013-06-05 S. Tölle , H. -W. Hammer , B. Ch. Metsch

We apply the gaussian variational method (GVM) to study the equilibrium statistical mechanics of the two related systems: (i) classical elastic manifolds, such as flux lattices, in presence of columnar disorder correlated along the $\tau$…

Condensed Matter · Physics 2009-10-28 Thierry Giamarchi , Pierre Le Doussal

The configuration interaction (CI) method for calculating the exact eigenstates of a quantum-mechanical few-body system is problematic when applied to particles interacting through contact forces. In dimensions higher than one the approach…

Mesoscale and Nanoscale Physics · Physics 2017-03-28 M. Rontani , G. Eriksson , S. Åberg , S. M. Reimann

We study how the proximity to an integrable point or to localization as one approaches the atomic limit, as well as the mixing of symmetries in the chaotic domain, may affect the onset of thermalization in finite one-dimensional systems. We…

Statistical Mechanics · Physics 2013-02-06 Lea F. Santos , Marcos Rigol
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