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A powerful approach to analysing quantum systems with dimensionality $d>1$ involves adding a weak coupling to an array of one-dimensional (1D) chains. The resultant quasi-one-dimensional (q1D) systems can exhibit long-range order at low…

Superconductivity · Physics 2016-07-27 A. P. Petrović , D. Ansermet , D. Chernyshov , M. Hoesch , D. Salloum , P. Gougeon , M. Potel , L. Boeri , C. Panagopoulos

We investigate the quantum correlations in an axially symmetric hybrid qubit-qutrit system subjected to different noisy environments. We first introduce a physical model and analyze its Hamiltonian structure, emphasizing the role of hybrid…

Quantum Physics · Physics 2026-01-01 M. Abdellaoui , N. -E. Abouelkhir , A. Slaoui , R. Ahl Laamara , S. Haddadi

In these pedagogical notes the diffuson-cooperon perturbation theory of weak localization and mesoscopic phenomena is extended to describe non-equilibrium and nonlinear effects in quantum disordered systems. It is shown how such…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. E. Kravtsov

We implement the effects of disorder on a holographic p-wave superconductor by introducing a random chemical potential which defines the local energy of the charge carriers. Since there are various possibilities for the orientation of the…

High Energy Physics - Theory · Physics 2015-08-06 Daniel Arean , Arya Farahi , Leopoldo A. Pando Zayas , Ignacio Salazar Landea , Antonello Scardicchio

Based on the random dimer model, we study correlated disorder in a one dimensional system driven by a strong AC field. As the correlations in a random system may generate extended states and enhance transport in DC fields, we explore the…

Disordered Systems and Neural Networks · Physics 2009-11-11 Wei Zhang , Sergio E. Ulloa

We investigate the response of a one-dimensional Bose gas to a slow increase of its interaction strength. We focus on the rich dynamics of equal-time single-particle correlations treating the Lieb-Liniger model within a bosonization…

Quantum Gases · Physics 2016-09-27 Jean-Sebastien Bernier , Roberta Citro , Corinna Kollath , Edmond Orignac

We study the effect of disorder on hardcore bosons in two dimensions at the SU(2) symmetric ``Heisenberg point''. We obtain our results with quantum Monte Carlo simulations using the directed loop algorithm. In the absence of disorder, the…

Statistical Mechanics · Physics 2007-05-23 Ji-Woo Lee , Shailesh Chandrasekharan , Harold U. Baranger

A one-dimensional diagonal tight binding electronic system with correlated disorder is investigated. The correlation of the random potential is exponentially decaying with distance and its correlation length diverges as the concentration of…

Disordered Systems and Neural Networks · Physics 2009-11-11 I Avgin

We investigate the effects of disorder and shielding on quantum transports in a two dimensional system with all-to-all long range hopping. In the weak disorder, cooperative shielding manifests itself as perfect conducting channels identical…

Disordered Systems and Neural Networks · Physics 2023-04-14 Si-Si Wang , Kangkang Li , Yi-Ming Dai , Hui-Hui Wang , Yi-Cai Zhang , Yan-Yang Zhang

We experimentally study the effect of disorder on trapped quasi two-dimensional (2D) 87Rb clouds in the vicinity of the Berezinskii-Kosterlitz-Thouless (BKT) phase transition. The disorder correlation length is of the order of the Bose gas…

We study numerically the effects of short- and long-range correlations on the localization properties of the eigenstates in a one-dimensional disordered lattice characterized by a random non-Hermitian Hamiltonian, where the imaginary part…

Disordered Systems and Neural Networks · Physics 2020-06-05 Ba Phi Nguyen , Thi Kim Thoa Lieu , Kihong Kim

We analyze a 1-d ring structure composed of many two-level systems, in the limit where only one excitation is present. The two-level systems are coupled to a common environment, where the excitation can be lost, which induces super and…

Mesoscale and Nanoscale Physics · Physics 2017-06-16 G. L. Celardo , G. G. Giusteri , F. Borgonovi

We study how the entanglement dynamics between two-level atoms is impacted by random fluctuations of the light cone. In our model the two-atom system is envisaged as an open system coupled with an electromagnetic field in the vacuum state.…

Quantum Physics · Physics 2017-12-20 G. Menezes , N. F. Svaiter , C. A. D. Zarro

Disordered geometrical boundaries such as rough surfaces induce important modifications to the mode spectrum of the electromagnetic quantum vacuum. In analogy to Anderson localization of waves induced by a random potential, here we show…

Quantum Physics · Physics 2010-12-03 G. A. Moreno , R. Messina , D. A. R. Dalvit , A. Lambrecht , P. A. Maia Neto , S. Reynaud

Anderson localization has been a subject of intense studies for many years. In this context, we study numerically the influence of long-range correlated disorder on the localization behavior in one dimensional systems. We investigate the…

Disordered Systems and Neural Networks · Physics 2015-03-19 Alexander Croy , Philipp Cain , Michael Schreiber

We use quantum Monte Carlo simulations to study the effect of disorder, in the form of a disordered chemical potential, on the phase diagram of the hard core bosonic Hubbard model in two dimensions. We find numerical evidence that in two…

Superconductivity · Physics 2009-11-07 K. Bernardet , G. G. Batrouni , M. Troyer , A. Dorneich

Quantum correlations in the spatial domain hold great promise for applications in quantum imaging, quantum cryptography and quantum information processing, owing to the infinite dimensionality of the associated Hilbert space. Here, we…

Quantum Physics · Physics 2025-12-23 Jerin A Thachil , Chirang R Patel , U. Ashwin , Ashok Kumar

We investigate the dynamical spreading of correlations in many-body quantum systems with competing short- and global-range couplings. We monitor the non-equilibrium dynamics of the correlations following a quench, showing that for strong…

I describe in these notes the physical properties of one dimensional interacting quantum particles. In one dimension the combined effects of interactions and quantum fluctuations lead to a radically new physics quite different from the one…

Statistical Mechanics · Physics 2009-11-11 T. Giamarchi

The effect of a continuous model of correlations upon one-dimensional finite disordered quantum wires modeled by an array of delta-potentials, is analyzed. Although the model proposed is not able to include new truly extended states in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 J. M. Cervero , A. Rodriguez
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