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We present here various techniques to work with clean and disordered quantum Ising chains, for the benefit of students and non-experts. Starting from the Jordan-Wigner transformation, which maps spin-1/2 systems into fermionic ones, we…

Quantum Physics · Physics 2024-06-21 Glen Bigan Mbeng , Angelo Russomanno , Giuseppe E. Santoro

Disorder free many-body localization (MBL) can occur in interacting systems that can dynamically generate their own disorder. We address the thermal-MBL phase transition of two isotropic Heisenberg spin chains that are quasi-periodically…

Disordered Systems and Neural Networks · Physics 2024-09-04 K. G. S. H. Gunawardana , Bruno Uchoa

We examine the magnetic correlations in quantum spin models that were derived recently as effective low-energy theories for electronic correlation effects on the edge states of graphene nanoribbons. For this purpose, we employ quantum Monte…

Mesoscale and Nanoscale Physics · Physics 2017-10-11 Cornelie Koop , Stefan Wessel

Many-body localization (MBL) hinders the thermalization of quantum many-body systems in the presence of strong disorder. In this work, we study the MBL regime in bond-disordered spin-1/2 XXZ spin chain, finding the multimodal distribution…

Disordered Systems and Neural Networks · Physics 2025-02-12 Adith Sai Aramthottil , Piotr Sierant , Maciej Lewenstein , Jakub Zakrzewski

We investigate the phases and phase-transitions in one-dimensional alternating mixed-spin (1/2-1) chain in the presence of both frustration and anisotropy. Frustration is introduced via next-nearest-neighbor interactions, while single-ion…

Strongly Correlated Electrons · Physics 2025-10-31 Soumya Satpathi , Suparna Sarkar , Swapan K. Pati

Dissipation is inevitable in realistic quantum circuits. We examine the effects of dissipation on a class of monitored random circuits that exhibit a measurement-induced entanglement phase transition. This transition has previously been…

Statistical Mechanics · Physics 2023-10-13 Yue Li , Martin Claassen

We solve the nonequilibrium dynamics of qubits or quantum spin chains (s=1/2) modeled by an anisotropic XY Hamiltonian, when the initial condition is prepared as a spatially inhomogeneous state of the magnetization. Infinite systems are…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. Tygel , J. G. Carvalho , G. G. Cabrera

Motivated by recent progress on field-induced phase transitions in quasi-one-dimensional quantum antiferromagnets, we study the phase diagram of $S=1/2$ antiferromagnetic Heisenberg chains with Ising anisotropic interchain couplings under a…

Strongly Correlated Electrons · Physics 2020-03-25 Yuchen Fan , Jiahao Yang , Weiqiang Yu , Jianda Wu , Rong Yu

Over the past few decades, tremendous efforts have been devoted to understanding self-duality at the quantum critical point, which enlarges the global symmetry and constrains the dynamics. In this letter, we employ large-scale density…

Strongly Correlated Electrons · Physics 2023-12-27 Sheng Yang , Zhiming Pan , Da-Chuan Lu , Xue-Jia Yu

Quantum systems can exhibit a great deal of universality at low temperature due to the structure of ground states and the critical points separating distinct states. On the other hand, quantum time evolution of the same systems involves all…

Disordered Systems and Neural Networks · Physics 2014-06-11 Ronen Vosk , Ehud Altman

We introduce an experimentally accessible network representation for many-body quantum states based on entanglement between all pairs of its constituents. We illustrate the power of this representation by applying it to a paradigmatic spin…

Quantum Physics · Physics 2022-06-30 Boris Sokolov , Matteo A. C. Rossi , Guillermo García-Pérez , Sabrina Maniscalco

We study the localization dynamics of a SU(2) fermionic wavepacket launched in a (pseudo)random potential. We show that in the limit of strong inter-component repulsions, the total wavepacket exhibits a boomerang-like dynamics, returning…

Quantum Gases · Physics 2024-03-26 Pablo Capuzzi , Luca Tessieri , Zehra Akdeniz , Anna Minguzzi , Patrizia Vignolo

The competition between interactions and dissipative processes in a quantum many-body system can drive phase transitions of different order. Exploiting a combination of cluster methods and quantum trajectories, we show how the systematic…

Statistical Mechanics · Physics 2018-12-19 Jiasen Jin , Alberto Biella , Oscar Viyuela , Cristiano Ciuti , Rosario Fazio , Davide Rossini

We study the effects of disorder in two-dimensional quantum antiferromagnets on a square lattice, within the nonlinear sigma model approach, by using of a random distribution of spin stiffnesses or zero-temperature-spin-gaps, respectively,…

Condensed Matter · Physics 2007-05-23 C. M. S. Conceicao , E. C. Marino

We show that long-range ferromagnetic interactions in quantum spin chains can induce spatial quasi-localization of topological magnetic defects, i.e., domain-walls, even in the absence of quenched disorder. By means of matrix-product-states…

Quantum Gases · Physics 2019-04-03 Alessio Lerose , Bojan Zunkovic , Alessandro Silva , Andrea Gambassi

The elusive nature of localized integrals of motion (or l-bits) in disordered quantum systems lies at the core of some of their most prominent features, i.e. emergent integrability and lack of thermalization. Here, we study the quench…

Disordered Systems and Neural Networks · Physics 2021-06-18 Leonardo Benini , Piero Naldesi , Rudolf A. Römer , Tommaso Roscilde

Many-body systems with multiple emergent time scales arise in various contexts, including classical critical systems, correlated quantum materials, and ultra-cold atoms. We investigate such non-trivial quantum dynamics in a new setting: a…

Strongly Correlated Electrons · Physics 2017-11-15 Xiao Chen , Eduardo Fradkin , William Witczak-Krempa

A protocol is discussed for preparing a spin chain in a generic many-body state in the asymptotic limit of tailored non-unitary dynamics. The dynamics require the spectral resolution of the target state, optimized coherent pulses,…

I consider the effects of enforced dimerization on random Heisenberg antiferromagnetic S=1 chains. I argue for the existence of novel Griffiths phases characterized by {\em two independent dynamical exponents} that vary continuously in…

Strongly Correlated Electrons · Physics 2009-11-07 Kedar Damle

Confinement-deconfinement transition in quarter-filled two-coupled chains comprising dimerization, repulsive interactions and interchain hopping has been demonstrated by applying the renormalization group method to the bosonized…

Strongly Correlated Electrons · Physics 2009-10-31 Y. Suzumura , M. Tsuchiizu
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