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We present high precision estimates of the exponents of a quantum phase transition in a planar antiferromagnet. This has been made possible by the recent development of cluster algorithms for quantum spin systems, the loop algorithms. Our…

Strongly Correlated Electrons · Physics 2008-02-03 Matthias Troyer , Masatoshi Imada

We investigate the role of a transverse field on the Ising square antiferromagnet with first-($J_1$) and second-($J_2$) neighbor interactions. Using a cluster mean-field approach, we provide a telltale characterization of the frustration…

Statistical Mechanics · Physics 2019-01-23 N. Kellermann , M. Schmidt , F. M. Zimmer

We study the isotropic Heisenberg chain with nearest and next-nearest neighbour interactions. The ground state phase diagram is constructed in dependence on the additonal interactions and an external magnetic field. The thermodynamics is…

Strongly Correlated Electrons · Physics 2009-11-13 Christian Trippe , Andreas Klümper

The ground state fidelity per lattice site is shown to be able to detect quantum phase transitions for the Kitaev model on the honeycomb lattice, a prototypical example of quantum lattice systems with topological order. It is found that, in…

Strongly Correlated Electrons · Physics 2008-03-07 Jian-Hui Zhao , Huan-Qiang Zhou

We investigate the low-energy spectral properties and robustness of the topological phase of color code, which is a quantum spin model for the aim of fault-tolerant quantum computation, in the presence of a uniform magnetic field or Ising…

Strongly Correlated Electrons · Physics 2013-12-13 Saeed S. Jahromi , S Farhad Masoudi , Mehdi Kargarian , Kai Phillip Schmidt

Ground state magnetic phase diagrams of the square and simple cubic lattices are investigated for the narrow band Hubbard model within the slave-boson approach by Kotliar and Ruckenstein. The transitions between saturated (half-metallic)…

Strongly Correlated Electrons · Physics 2018-05-09 M. A. Timirgazin , P. A. Igoshev , A. K. Arzhnikov , V. Yu. Irkhin

We construct a well-defined lattice-regularized quantum theory formulated in terms of fundamental fermion and gauge fields, the same type of degrees of freedom as in the Standard Model. The theory is explicitly invariant under local Lorentz…

High Energy Physics - Theory · Physics 2013-05-30 Alexey A. Vladimirov , Dmitri Diakonov

We investigate two separate notions of dynamical phase transitions in the two-dimensional nearest-neighbor transverse-field Ising model on a square lattice using matrix product states and a new \textit{hybrid} infinite time-evolving block…

Strongly Correlated Electrons · Physics 2022-04-21 Tomohiro Hashizume , Ian P. McCulloch , Jad C. Halimeh

We detect the quantum phase transition of a quantum many-body system by mapping the observed results of the quantum state onto a neural network. In the present study, we utilized the simplest case of a quantum many-body system, namely a…

Statistical Mechanics · Physics 2018-02-26 Shunta Arai , Masayuki Ohzeki , Kazuyuki Tanaka

Motivated by the quantum adiabatic algorithm (QAA), we consider the scaling of the Hamiltonian gap at quantum first order transitions, generally expected to be exponentially small in the size of the system. However, we show that a quantum…

Quantum Physics · Physics 2012-10-30 C. R. Laumann , R. Moessner , A. Scardicchio , S. L. Sondhi

We study the ground-state phase diagram of the spin-$1/2$ antiferromagnetic Heisenberg model on the square-kagome lattice using infinite projected entangled-pair states (iPEPS). By systematically varying the ratio of exchange couplings on…

Strongly Correlated Electrons · Physics 2026-04-07 Saeed S. Jahromi , Yasir Iqbal

We study a quantum phase transition from a massless to massive Dirac fermion phase in a new two-dimensional bipartite lattice model of electrons that is amenable to sign-free quantum Monte Carlo simulations. Importantly, interactions in our…

Strongly Correlated Electrons · Physics 2022-12-23 Hanqing Liu , Emilie Huffman , Shailesh Chandrasekharan , Ribhu K. Kaul

We construct a quantum Wajnflasz-Pick model that is a generalized quantum Ising model, and investigate a nature of quantum phase transitions of the model with infinite-range interactions. Quantum phase transition phenomena have drawn…

Statistical Mechanics · Physics 2019-04-25 Yuya Seki , Shu Tanaka , Shiro Kawabata

The study of quantum phase transitions requires the preparation of a many-body system near its ground state, a challenging task for many experimental systems. The measurement of quench dynamics, on the other hand, is now a routine practice…

Quantum Physics · Physics 2019-09-13 Paraj Titum , Joseph T. Iosue , James R. Garrison , Alexey V. Gorshkov , Zhe-Xuan Gong

In this paper we show quantum fluctuation effect of fully frustrated Ising spin systems. Quantum annealing has been expected to be an efficient method to find ground state of optimization problems. However it is not clear when to use the…

Disordered Systems and Neural Networks · Physics 2011-06-06 Shu Tanaka

We study the equilibrium properties of the nearest-neighbor Ising antiferromagnet on a triangular lattice in the presence of a staggered field conjugate to one of the degenerate ground states. Using a mapping of the ground states of the…

Statistical Mechanics · Physics 2009-10-31 Abhishek Dhar , Pinaki Chaudhuri , Chandan Dasgupta

We analyze the ground state phase diagram of attractive lattice bosons, which are stabilized by a three-body onsite hardcore constraint. A salient feature of this model is an Ising type transition from a conventional atomic superfluid to a…

Quantum Gases · Physics 2010-08-24 S. Diehl , M. Baranov , A. J. Daley , P. Zoller

We study the slow crossing of non-equilibrium quantum phase transitions in periodically-driven systems. We explicitly consider a spin chain with a uniform time-dependent magnetic field and focus on the Floquet state that is adiabatically…

Quantum Gases · Physics 2016-11-03 Angelo Russomanno , Emanuele G. Dalla Torre

A hybrid lattice-statistical model of doubly decorated two-dimensional lattices, which have localized Ising spins at its nodal sites and itinerant electrons delocalized over decorating sites, is exactly solved with the help of a generalized…

Statistical Mechanics · Physics 2015-05-14 Jozef Strecka , Akinori Tanaka , Michal Jascur

In this paper we consider the quantum phase transition in the Ising model in the presence of a transverse field in one, two and three dimensions from a multi-partite entanglement point of view. Using \emph{exact} numerical solutions, we are…

Quantum Physics · Physics 2010-12-21 Afshin Montakhab , Ali Asadian