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We study phase diagrams of a class of doped quantum dimer models on the square lattice with ground-state wave functions whose amplitudes have the form of the Gibbs weights of a classical doped dimer model. In this dimer model, parallel…

Strongly Correlated Electrons · Physics 2007-10-25 Stefanos Papanikolaou , Erik Luijten , Eduardo Fradkin

We investigate the quantum criticality and universality in Aubry-Andr\'{e}-Harper (AAH) model with $p$-wave superconducting pairing $\Delta$ in terms of the generalized fidelity susceptibility (GFS). We show that the higher-order GFS is…

Disordered Systems and Neural Networks · Physics 2022-01-19 Ting Lv , Tian-Cheng Yi , Liangsheng Li , Gaoyong Sun , Wen-Long You

The robustness of topological properties, such as quantized currents, generally depends on the existence of gaps surrounding the relevant energy levels or on symmetry-forbidden transitions. Here, we observe quantized currents that survive…

Mesoscale and Nanoscale Physics · Physics 2025-08-21 Emmanuel Gottlob , Dan S. Borgnia , Robert-Jan Slager , Ulrich Schneider

We study quench dynamics in an interacting spin chain with a quasi-periodic on-site field, known as the interacting Aubry-Andr\'e model of many-body localization. Using the time-dependent variational principle, we assess the late-time…

Disordered Systems and Neural Networks · Physics 2019-09-17 Elmer V. H. Doggen , Alexander D. Mirlin

We study quantum criticality in the doped two-dimensional periodic Anderson model with the hybridization acting as a tuning parameter. Employing the dynamical vertex approximation we find two distinct quantum critical behaviors. One is a…

Strongly Correlated Electrons · Physics 2025-03-13 M. Kitatani , T. Schäfer , A. A. Katanin , A. Toschi , K. Held

State-of-the-art tensor networks are employed to simulate the Hamiltonian ramp in the analog-digital quantum simulation of the quantum phase transition to the quasi-long-range ordered phase of the two-dimensional square-lattice $XX$ model…

Quantum Physics · Physics 2025-10-13 Yintai Zhang , Francis A. Bayocboc , Jacek Dziarmaga

Using grand canonical Quantum Monte Carlo (QMC) simulations combined with Maximum Entropy analytic continuation, as well as analytical methods, we examine the one- and two-particle dynamical properties of the Hubbard model on two coupled…

Condensed Matter · Physics 2009-10-28 H. Endres , R. M. Noack , W. Hanke , D. Poilblanc , D. J. Scalapino

We uncover an aspect of the Kibble--Zurek phenomenology, according to which the spectrum of critical exponents of a classical or quantum phase transition is revealed, by driving the system slowly in directions parallel to the phase…

Statistical Mechanics · Physics 2020-02-14 Steven Mathey , Sebastian Diehl

We study the high temperature transport behavior of the Aubry-Andr\'e-Harper (AAH) model, both in the isolated thermodynamic limit and in the open system. At the critical point of the AAH model, we find hints of super-diffusive behavior…

Mesoscale and Nanoscale Physics · Physics 2018-05-30 Archak Purkayastha , Sambuddha Sanyal , Abhishek Dhar , Manas Kulkarni

We show the localization transition and its effect on two dynamical processes for an extended Aubry-Andr\'e-Harper model with incommensurate on-site and hopping potentials. After specifying an extended Aubry-Andr\'e-Harper model, we check…

Disordered Systems and Neural Networks · Physics 2017-11-22 X. L. Zhao , Z. C. Shi , C. S. Yu , X. X. Yi

We study the adiabatic quantum dynamics of an anisotropic spin-1 XY chain across a second order quantum phase transition. The system is driven out of equilibrium by performing a quench on the uniaxial single-spin anisotropy, that is…

Statistical Mechanics · Physics 2009-03-31 Elena Canovi , Davide Rossini , Rosario Fazio , Giuseppe E. Santoro

Critical points with emergent symmetry exhibit intriguing scaling properties induced by two divergent length scales, attracting extensive investigations recently. We study the driven critical dynamics in a three-dimensional $q$-state clock…

Strongly Correlated Electrons · Physics 2026-04-13 Yu-Rong Shu , Li-Ying Yang , Shuai Yin

We study the driven critical dynamics of the quantum link model, whose Hamiltonian describes the one-dimensional $U(1)$ lattice gauge theory. We find that combined topological defects emerge after the quench and they consist of both gauge…

Statistical Mechanics · Physics 2020-02-25 Yao-Tai Kang , Chung-Yu Lo , Shuai Yin , Pochung Chen

We present large-scale Monte Carlo results for the dynamical critical exponent z and the spatio-temporal two-point correlation function of a (2+1)-dimensional quantum XY model with bond dissipation, proposed to describe a quantum critical…

Strongly Correlated Electrons · Physics 2011-11-18 Iver Bakken Sperstad , Einar B. Stiansen , Asle Sudbø

We investigate an extension of the quantum Ising model in one spatial dimension including long-range $1 / r^{\alpha}$ interactions in its statics and dynamics with possible applications from heteronuclear polar molecules in optical lattices…

Quantum Gases · Physics 2017-09-15 Daniel Jaschke , Kenji Maeda , Joseph D. Whalen , Michael L. Wall , Lincoln D. Carr

Quasiperiodic systems are known to exhibit localization transitions in low dimensions, wherein all electronic states become localized beyond a critical disorder strength. Interestingly, recent studies have uncovered a reentrant localization…

Disordered Systems and Neural Networks · Physics 2025-09-04 Sourav Karmakar , Sudin Ganguly , Santanu K. Maiti

We investigate the transition from PT-symmetry to PT-symmetry breaking and vice versa in the non-Hermitian Landau-Zener (LZ) models. The energy is generally complex, so the relaxation rate of the system is set by the absolute value of the…

Quantum Physics · Physics 2023-04-12 Xianqi Tong , Gao Xianlong , Su-peng Kou

The $\pm J$ Ising model is a simple frustrated spin model, where the exchange couplings independently take the discrete value $-J$ with probability $p$ and $+J$ with probability $1-p$. It is especially appealing due to its connection to…

Statistical Mechanics · Physics 2023-12-29 Ramgopal Agrawal , Leticia F. Cugliandolo , Lara Faoro , Lev B. Ioffe , Marco Picco

Here we study the phase diagram of the Aubry-Andre-Harper model in the presence of strong interactions as the strength of the quasiperiodic potential is varied. Previous work has established the existence of many-body localized phase at…

Strongly Correlated Electrons · Physics 2023-03-10 Yongchan Yoo , Junhyun Lee , Brian Swingle

The Kibble-Zurek mechanism (KZM) predicts the density of topological defects produced in the dynamical processes of phase transitions in systems ranging from cosmology to condensed matter and quantum materials. The similarity between KZM…