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We study the stability with respect to a broad class of perturbations of gapped ground state phases of quantum spin systems defined by frustration-free Hamiltonians. The core result of this work is a proof using the…

Mathematical Physics · Physics 2023-01-04 Bruno Nachtergaele , Robert Sims , Amanda Young

Disordered quantum antiferromagnets in two-dimensional compounds have been a focus of interest in the last years due to their exotic properties. However, with very few exceptions, the ground states of the corresponding Hamiltonians are…

Quantum Gases · Physics 2017-06-07 A. Yuste , M. Moreno-Cardoner , A. Sanpera

It is shown that random quantum spin systems with centered disorder satisfy correlation inequalities previously proved (arXiv:cond-mat/0612371) in the classical case. Consequences include monotone approach of pressure and ground state…

Statistical Mechanics · Physics 2015-05-13 Pierluigi Contucci , Joel L. Lebowitz

Disorder in quantum systems can lead to the disruption of long-range order in the ground state and to the localization of the elementary excitations - famous examples thereof being the Bose glass of interacting bosons in a disordered or…

Disordered Systems and Neural Networks · Physics 2020-04-08 Raphaël Menu , Tommaso Roscilde

We elaborate on the principle that for gapped quantum spin systems with local interaction "local perturbations [in the Hamiltonian] perturb locally [the ground state]". This principle was established in [Bachmann et al. 2012], relying on…

Mathematical Physics · Physics 2015-06-30 Wojciech De Roeck , Marius Schütz

We study disordered interacting bosons described by the Bose-Hubbard model with Gaussian-distributed random tunneling amplitudes. It is shown that the off-diagonal disorder induces a spin-glass-like ground state, characterized by randomly…

Quantum Gases · Physics 2018-04-18 A. M. Piekarska , T. K. Kopeć

We investigate the two-dimensional frustrated quantum Heisenberg model with bond disorder on nearest-neighbor couplings using the recently introduced Foundation Neural-Network Quantum States framework, which enables accurate and efficient…

Ground state instabilities of the spin-boson model is studied in this work. The existence of sequential ground state instabilities is shown analytically for arbitrary detuning in the two-spin system. In this model, extra discontinuities of…

Quantum Physics · Physics 2007-05-23 Ru-Fen Liu , Chia-Chu Chen

For the 1D quantum East model with open boundaries, we show that in the limit $s \to -\infty$, the ground state is accurately captured by a simple spin-coherent product state. We further identify a low-entanglement excited eigenstate that…

Quantum Physics · Physics 2026-03-02 Adway Kumar Das , Achilleas Lazarides

We investigate the ground-state energy and spin of disordered quantum dots using spin-density-functional theory. Fluctuations of addition energies (Coulomb-blockade peak spacings) do not scale with average addition energy but remain…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Kenji Hirose , Ned S. Wingreen

Based on a result by Yarotsky (J. Stat. Phys. 118, 2005), we prove that localized but otherwise arbitrary perturbations of weakly interacting quantum spin systems with uniformly gapped on-site terms change the ground state of such a system…

Mathematical Physics · Physics 2022-03-04 Joscha Henheik , Stefan Teufel , Tom Wessel

We consider a dc-driven damped sine-Gordon model with a small nonlinear spatial-disorder term, onto which a sinusoidal modulation is superimposed. It describes, e.g., a weakly disordered system with a regular grain structure. We demonstrate…

Disordered Systems and Neural Networks · Physics 2009-10-31 Eva Majernikova , Jaroslav Riedel , Boris A. Malomed

We study the influence of on-site disorder on the magnetic properties of the ground state of the infinite U 1D Hubbard model. We find that the ground state is not ferromagnetic. This is analyzed in terms of the algebraic structure of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 E. Eisenberg , R. Berkovits

The study of generic properties of quantum states has led to an abundance of insightful results. A meaningful set of states that can be efficiently prepared in experiments are ground states of gapped local Hamiltonians, which are well…

Quantum Physics · Physics 2022-05-03 Jonas Haferkamp , Christian Bertoni , Ingo Roth , Jens Eisert

We prove that uniformly small short-range perturbations do not close the bulk gap above the ground state of frustration-free quantum spin systems that satisfy a standard local topological quantum order condition. In contrast with earlier…

Mathematical Physics · Physics 2023-03-10 Bruno Nachtergaele , Robert Sims , Amanda Young

Emergent hydrodynamics (EHD) bridges short-time unitarity with late-time thermodynamics, universal transport phenomena characterize the manner and speed of transport and thermalization. Typical non-integrable systems with few conserved…

Disordered Systems and Neural Networks · Physics 2025-10-23 Andrew Stasiuk , Garrett Heller , Lance Berkey , Bo Xing , Paola Cappellaro

This article reviews recent studies of mean-field and one dimensional quantum disordered spin systems coupled to different types of dissipative environments. The main issues discussed are: (i) The real-time dynamics in the glassy phase and…

Disordered Systems and Neural Networks · Physics 2009-11-10 Leticia F. Cugliandolo

We address the problem of stability of one-dimensional non-periodic ground-state configurations with respect to finite-range perturbations of interactions in classical lattice-gas models. We show that a relevant property of non-periodic…

Statistical Mechanics · Physics 2025-05-30 Damian Głodkowski , Jacek Miȩkisz

We propose a self-consistent scheme for the determination of the ground-state (GS) properties of interacting electrons in a magnetic field, and of systems whose GS's time-reversal-symmetry (TRS) is spontaneously broken. It is based on a…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Behnam Farid

We have computed the low energy quantum states and low frequency dynamical susceptibility of complex quantum spin systems in the limit of strong interactions, obtaining exact results for system sizes enormously larger than accessible…

Statistical Mechanics · Physics 2007-05-23 J. W. Landry , S. N. Coppersmith
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