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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

Using machine learning (ML) to recognize different phases of matter and to infer the entire phase diagram has proven to be an effective tool given a large dataset. In our previous proposals, we have successfully explored phase transitions…

Statistical Mechanics · Physics 2023-07-12 Ming-Chiang Chung , Guang-Yu Huang , Ian P. McCulloch , Yuan-Hong Tsai

We present a scenario, in which a gapless extended phase serves as a "hub" connecting multiple symmetry-enriched deconfined quantum critical points. As a concrete example, we construct a lattice model with $\mathbb{Z}^{\,}_{2}\times…

Strongly Correlated Electrons · Physics 2025-10-13 Anthony Rey , Ömer M. Aksoy , Daniel P. Arovas , Claudio Chamon , Christopher Mudry

We present a novel framework exploiting the cascade of phase transitions occurring during a simulated annealing of the Expectation-Maximisation algorithm to cluster datasets with multi-scale structures. Using the weighted local covariance,…

Machine Learning · Statistics 2021-01-13 T. Bonnaire , A. Decelle , N. Aghanim

We study the quantum correlations in a 2D system that possesses a topological quantum phase transition. The quantumness of two-body correlations is measured by quantum discord. We calculate both the correlation of two local spins and that…

Quantum Physics · Physics 2015-05-14 Yi-Xin Chen , Sheng-Wen Li

In this paper, we investigate the energy landscape of the two-component spin systems, known as the Curie-Weiss-Potts model, which is a generalization of the Curie-Weiss model consisting of $q\ge3$ spins. In the energy landscape of a…

Probability · Mathematics 2022-06-22 Daecheol Kim

Critical phase transitions have proven to be a powerful concept to capture the phenomenology of many systems, including deeply non-equilibrium ones like living systems. The study of these phase transitions has overwhelmingly relied on…

Statistical Mechanics · Physics 2025-12-12 Leone V. Luzzatto , Mathias Casiulis , Stefano Martiniani , István A. Kovács

We propose a cavity QED setup which implements a dissipative Lipkin-Meshkov-Glick model -- an interacting collective spin system. By varying the external model parameters the system can be made to undergo both first-and second-order quantum…

Quantum Physics · Physics 2008-05-07 S. Morrison , A. S. Parkins

We consider a quantum energy teleportation (QET) method to replicate the phase diagram of a one-dimensional $XXZ$ spin chain featuring a Kondo effect coupling. In this setup, the energy supplier and receiver are spatially separated from the…

Quantum Physics · Physics 2023-10-25 Kazuki Ikeda , Rajeev Singh , Robert-Jan Slager

What entanglement is present in naturally occurring physical systems at thermal equilibrium? Most such systems are intractable and it is desirable to study simple but realistic systems which can be solved. An example of such a system is the…

Quantum Physics · Physics 2007-05-23 Tobias J. Osborne , Michael A. Nielsen

We study the strong coupling limit of the extended Hubbard model in two dimensions. The model consists of hopping, on-site interaction, nearest-neighbor interaction, spin-orbit coupling and Zeeman spin splitting. While the study of this…

Strongly Correlated Electrons · Physics 2014-02-18 Aaron Farrell , T. Pereg-Barnea

We investigate the topological properties of hardcore bosons possessing nearest-neighbor repulsive interactions on a two-leg ladder. We show that by allowing nearest neighbour dimerized interactions instead of hopping dimerization, the…

Quantum Gases · Physics 2024-10-08 Rajashri Parida , Ashirbad Padhan , Tapan Mishra

We investigate, via Monte Carlo simulations, the phase structure of a system of closed, nonintersecting but otherwise non-interacting, loops in 3 Euclidean dimensions. The loops correspond to closed trajectories of massive particles and we…

High Energy Physics - Lattice · Physics 2015-03-13 Richard MacKenzie , F. Nebia-Rahal , M. B. Paranjape

We present a generalization of the recently proposed variational cluster perturbation theory to extended Hubbard models at half filling with repulsive nearest neighbor interaction. The method takes into account short-range correlations…

Strongly Correlated Electrons · Physics 2009-11-10 M. Aichhorn , H. G. Evertz , W. von der Linden , M. Potthoff

We unveil a topological phase of interacting fermions on a two-leg ladder of unequal parity orbitals, derived from the experimentally realized double-well lattices by dimension reduction. $Z_2$ topological invariant originates simply from…

Quantum Gases · Physics 2013-03-04 Xiaopeng Li , Erhai Zhao , W. Vincent Liu

Topological invariants such as Chern classes are by now a standard way to classify topological phases. Introducing and varying parameters in such systems leads to phase diagrams, where the Chern classes may jump when crossing a critical…

Mathematical Physics · Physics 2025-05-21 Ralph M. Kaufmann , Mohamad Mousa , Birgit Wehefritz-Kaufmann

We perform a detailed study of the phase transitions and mechanisms of electron localization in the extended Hubbard model using the dynamical cluster approximation on a $2\times 2$ cluster. We explore the interplay of charge order and Mott…

Strongly Correlated Electrons · Physics 2021-08-25 Hanna Terletska , Sergei Iskakov , Thomas Maier , Emanuel Gull

We show the existence of strong (anti)correlations between the topological hot spots and the local values of the trace of the Polyakov loop in $2+1$ flavor QCD with physical quark mass, in the vicinity of the crossover transition…

High Energy Physics - Lattice · Physics 2022-04-26 Rasmus N. Larsen , Sayantan Sharma , Edward Shuryak

We analyze the possible existence of topological phases in two-legged spin ladders considering a staggered interaction in both chains. When the staggered interaction in one chain is shifted by one site with respect to the other chain, the…

Strongly Correlated Electrons · Physics 2020-02-18 Greta Ghelli , Giuseppe Magnifico , Cristian Degli Esposti Boschi , Elisa Ercolessi

Motivated by its relation to an $\cal{NP}$-hard problem, we analyze the ground state properties of anti-ferromagnetic Ising-spin networks embedded on planar cubic lattices, under the action of homogeneous transverse and longitudinal…

Quantum Physics · Physics 2009-11-10 Cameron Wellard , Roman Orus