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The entanglement in quantum XY spin chains of arbitrary length is investigated via the geometric (measure of) entanglement. The emergence of entanglement is explained intuitively from the perspective of perturbations. The model is solved…

Quantum Physics · Physics 2011-04-06 Tzu-Chieh Wei , Smitha Vishveshwara , Paul M. Goldbart

We study quantum phase transitions in transverse-field Ising spin chains in which the couplings are random but hyperuniform, in the sense that their large-scale fluctuations are suppressed. We construct a one-parameter family of disorder…

Statistical Mechanics · Physics 2019-10-23 Philip J. D. Crowley , C. R. Laumann , Sarang Gopalakrishnan

We address a number of outstanding questions associated with the analytic properties of the universal equation of state of the $\phi^4$ theory, which describes the critical behavior of the Ising model and ubiquitous critical points of the…

High Energy Physics - Theory · Physics 2018-03-20 Xin An , David Mesterházy , Mikhail A. Stephanov

We investigate the tricritical Ising model in complex magnetic field in order to characterize the analytic structure of its free energy. By supplementing analytic methods with the truncation of conformal space technique we obtain…

High Energy Physics - Theory · Physics 2014-11-18 Alessandro Mossa , Giuseppe Mussardo

Studies of entanglement in many-particle systems suggest that most quantum critical ground states have infinitely more entanglement than non-critical states. Standard algorithms for one-dimensional many-particle systems construct model…

Strongly Correlated Electrons · Physics 2015-05-13 Frank Pollmann , Subroto Mukerjee , Ari Turner , Joel E. Moore

Close to the quantum critical point of the transverse-field Ising spin-chain model, an exotic dynamic spectrum was predicted to emerge upon a perturbative longitudinal field. The dynamic spectrum consists of eight particles and is governed…

Strongly Correlated Electrons · Physics 2020-09-25 Kirill Amelin , Johannes Engelmayer , Johan Viirok , Urmas Nagel , Toomas Rõõm , Thomas Lorenz , Zhe Wang

We consider a class of Ising spin systems on a set \Lambda of sites. The sites are grouped into units with the property that each site belongs to either one or two units, and the total internal energy of the system is the sum of the…

Statistical Mechanics · Physics 2015-06-04 Joel L. Lebowitz , David Ruelle , Eugene R. Speer

Multiple-quantum coherence (MQC) spectroscopy is a powerful technique for probing spin clusters, offering insights into diverse materials and quantum many-body systems. However, prior experiments have revealed a rapid decay in MQC…

Quantum Physics · Physics 2024-12-13 Christian Bengs , Chongwei Zhang , Ashok Ajoy

We investigate the quantum-critical behavior between the rung-singlet phase with hidden string order and the N\'eel phase with broken $SU(2)$-symmetry on quantum spin ladders with algebraically decaying unfrustrated long-range Heisenberg…

Strongly Correlated Electrons · Physics 2022-09-05 P. Adelhardt , K. P. Schmidt

We discuss the analytic continuation of scaling function in the 3-dimensional Z(2),O(2) andO(4) universality classes using the Schofield representation of the magnetic equation of state. We show that a determination of the location of…

High Energy Physics - Lattice · Physics 2024-01-23 Frithjof Karsch , Christian Schmidt , Simran Singh

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

Driven-dissipative many-body systems are difficult to analyze analytically due to their non-equilibrium dynamics, dissipation and many-body interactions. In this paper, we consider a driven-dissipative infinite-range Ising model with local…

Quantum Gases · Physics 2021-09-08 Daniel A. Paz , Mohammad F. Maghrebi

The Yang-Baxter equation has long been recognised as the masterkey to integrability, providing the basis for exactly solved models which capture the fundamental physics of a number of realistic classical and quantum systems. In this article…

Statistical Mechanics · Physics 2016-04-22 Murray T. Batchelor , Angela Foerster

Theoretical research into many-body quantum systems has mostly focused on regular structures which have a small, simple unit cell and where a vanishingly small number of pairs of the constituents directly interact. Motivated by advances in…

Quantum Physics · Physics 2022-12-06 Joseph Tindall , Amy Searle , Abdulla Alhajri , Dieter Jaksch

The emergence of a diverging length scale in many-body systems at a quantum phase transition implies that total entanglement has to reach its maximum there. In order to fully characterize this, one has to consider multipartite entanglement…

Quantum Physics · Physics 2017-01-25 Abolfazl Bayat

We perform an extensive study of the properties of global quantum correlations in finite-size one-dimensional quantum spin models at finite temperature. By adopting a recently proposed measure for global quantum correlations [C. C. Rulli,…

Quantum Physics · Physics 2013-04-24 S. Campbell , L. Mazzola , G. De Chiara , T. J. G Apollaro , F. Plastina , Th. Busch , M. Paternostro

The $Q$-state Potts model on the simple-cubic lattice is studied using the zeros of the exact partition function on a finite lattice. The critical behavior of the model in the ferromagnetic and antiferromagnetic phases is discussed based on…

Statistical Mechanics · Physics 2015-06-24 Seung-Yeon Kim

We study systems with a continuous phase transition that tune their parameters to maximize a quantity that diverges solely at a unique critical point. Varying the size of these systems with dynamically adjusting parameters, the same…

Statistical Mechanics · Physics 2011-03-24 Ole Peters , Michelle Girvan

The scaling of the entanglement entropy at a quantum critical point allows us to extract universal properties of the state, e.g., the central charge of a conformal field theory. With the rapid improvement of noisy intermediate-scale quantum…

Strongly Correlated Electrons · Physics 2022-08-24 Bernhard Jobst , Adam Smith , Frank Pollmann

Quantum coherence reflects the origin of quantumness and might be capable of extracting the subtle nature of a system. We investigate the ground-state coherence and steered coherence in the Lipkin-Meshkov-Glick model and show that they…

Quantum Physics · Physics 2021-12-14 Ming-Liang Hu , Fan Fang , Heng Fan
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