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Many-body localisation is studied in a disordered quantum spin-1/2 chain with long-ranged power-law interactions, and distinct power-law exponents for interactions between longitudinal and transverse spin components. Using a self-consistent…

无序系统与神经网络 · 物理学 2019-10-09 Sthitadhi Roy , David E. Logan

We numerically simulate the low-energy properties of interacting electrons in a random potential using the Hartree-Fock based exact diagonalization method. In particular, we investigate how the transport properties are influenced by the…

无序系统与神经网络 · 物理学 2009-11-07 Frank Epperlein , Svetlana Kilina , Michael Schreiber , Sergey Uldanov , Thomas Vojta

We consider the unitary dynamics of interacting fermions in the lowest Landau level, on spherical and toroidal geometries. The dynamics are driven by the interaction Hamiltonian which, viewed in the basis of single-particle Landau orbitals,…

强关联电子 · 物理学 2018-11-14 M. Fremling , Cécile Repellin , Jean-Marie Stéphan , N. Moran , J. K. Slingerland , Masudul Haque

In this work we formulate an efficient method for the description of many-body localized systems in weak contact with thermal environments at temperature $T$. For this purpose we exploit the representation of the system in terms of…

无序系统与神经网络 · 物理学 2019-07-08 Ling-Na Wu , Alexander Schnell , Giuseppe De Tomasi , Markus Heyl , André Eckardt

We study the localization problem of one-dimensional interacting spinless fermions in an incommensurate optical lattice, which changes from an extended phase to a nonergoic many-body localized phase by increasing the strength of the…

无序系统与神经网络 · 物理学 2018-01-03 Yucheng Wang , Haiping Hu , Shu Chen

The properties of the entanglement entropy (EE) of low-lying excitations in one-dimensional disordered interacting systems are studied. The ground state EE shows a clear signature of localization, while low-lying excitation shows a…

介观与纳米尺度物理 · 物理学 2015-06-17 Richard Berkovits

We consider the problem of many-body localisation on Fock space, focussing on the essential features of the Hamiltonian which stabilise a localised phase. Any many-body Hamiltonian has a canonical representation as a disordered…

无序系统与神经网络 · 物理学 2020-04-24 Sthitadhi Roy , David E. Logan

We discuss physical properties of strongly correlated electron states for a linear chain obtained with the help of the recently proposed new method combining the exact diagonalization in the Fock space with an ab initio readjustment of the…

强关联电子 · 物理学 2007-05-23 Adam Rycerz , Jozef Spalek

Recently, the topics of many-body localization (MBL) and one-dimensional strongly interacting few-body systems have received a lot of interest. These two topics have been largely developed separately. However, the generality of the latter…

We examine the physics of two, three, and four heavy fermions interacting with a single light fermion via short-range interactions. Four-particle bosonic Efimov states have proven important experimentally and also been the subject of…

量子气体 · 物理学 2010-06-29 S. Gandolfi , J. Carlson

Residual interactions in many particle systems lead to strong correlations. A multitude of spectacular phenomenae in many particle systems are connected to correlation effects in such systems, e.g. pairing, superconductivity, superfluidity,…

核理论 · 物理学 2011-04-15 P. Schuck , M. Beyer , G. Roepke , W. Schadow , A. Schnell

Few-body physics has played a prominent role in atomic, molecular and nuclear physics since the early days of quantum mechanics. It is now possible---thanks to tremendous progress in cooling, trapping, and manipulating ultracold…

量子气体 · 物理学 2015-06-03 D. Blume

Recent theoretical and numerical evidence suggests that localization can survive in disordered many-body systems with very high energy density, provided that interactions are sufficiently weak. Stronger interactions can destroy…

无序系统与神经网络 · 物理学 2013-04-17 Shankar Iyer , Vadim Oganesyan , Gil Refael , David A. Huse

Many-body localization is a unique physical phenomenon driven by interactions and disorder for which a quantum system can evade thermalization. While the existence of a many-body localized phase is now well-established in one-dimensional…

无序系统与神经网络 · 物理学 2020-08-06 Hugo Théveniaut , Zhihao Lan , Gabriel Meyer , Fabien Alet

We study the relaxation dynamics of strongly interacting quantum systems that display a kind of many-body localization in spite of their translation-invariant Hamiltonian. We show that dynamics starting from a random initial configuration…

无序系统与神经网络 · 物理学 2015-05-08 Mauro Schiulaz , Alessandro Silva , Markus Müller

We study the localization in the Hilbert space of a modified Tomonaga-Luttinger model. For the standard version of this model, the states are found to be extended in the basis of Slater determinants, representing the eigenstates of the…

无序系统与神经网络 · 物理学 2009-10-31 Dimitry M. Gangardt , Shmuel Fishman

We investigate the dynamics of bound states of two interacting particles, either bosons or fermions, performing a continuous-time quantum walk on a one-dimensional lattice. We consider the situation where the distance between both particles…

介观与纳米尺度物理 · 物理学 2015-11-06 P. L. Krapivsky , J. M. Luck , K. Mallick

Quantum many-body simulation provides a straightforward way to understand fundamental physics and connect with quantum information applications. However, suffering from exponentially growing Hilbert space size, characterization in terms of…

We study quantum oscillator lattice systems with disorder, in arbitrary dimension, requiring only partial localization of the associated effective one-particle Hamiltonian. This leads to a many-body localized regime of excited states with…

数学物理 · 物理学 2022-10-13 Houssam Abdul-Rahman , Robert Sims , Günter Stolz

We consider the one-dimensional lattice model of interacting fermions with disorder studied previously by Oganesyan and Huse [Phys. Rev. B 75, 155111 (2007)]. To characterize a possible many-body localization transition as a function of the…

无序系统与神经网络 · 物理学 2010-05-04 Cecile Monthus , Thomas Garel