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We consider one dimensional quantum Ising spin-1/2 chains with two-valued nearest neighbor couplings arranged in a quasi-periodic sequence, with uniform, transverse magnetic field. By employing the Jordan-Wigner transformation of the spin…

Mathematical Physics · Physics 2013-04-11 W. N. Yessen

We analyze the evolution of the particle spectrum of the Tricritical Ising Model by varying the couplings of the energy and vacancy density fields. The particle content changes from the spectrum of a supersymmetric theory (either of an…

High Energy Physics - Theory · Physics 2008-11-26 Luca Lepori , Giuseppe Mussardo , Gabor Zs. Toth

Using the Jordan-Wigner transformation and continued fractions we calculate rigorously the thermodynamic quantities for the spin-1/2 transverse Ising chain with periodically varying intersite interactions and/or on-site fields. We consider…

Statistical Mechanics · Physics 2009-11-10 Oleg Derzhko , Johannes Richter , Taras Krokhmalskii , Oles' Zaburannyi

We study the transverse-field Ising model with infinite-range coupling and spontaneous emission on every site. We find that there is spin squeezing in steady state due to the presence of the transverse field. This means that there is still…

Quantum Physics · Physics 2013-12-05 Tony E. Lee , Ching-Kit Chan

We describe examples of drastic truncations of conformal bootstrap equations encoding much more information than that obtained by a direct numerical approach. A three-term truncation of the four point function of a free scalar in any space…

High Energy Physics - Theory · Physics 2016-11-23 Ferdinando Gliozzi

We consider the three-dimensional Ising model slightly below its critical temperature, with boundary conditions leading to the presence of an interface. We show how the interfacial properties can be deduced starting from the particle modes…

Statistical Mechanics · Physics 2020-08-17 Gesualdo Delfino , Walter Selke , Alessio Squarcini

The transverse-field Ising model is one of the fundamental models in quantum many-body systems, yet a full understanding of its dynamics remains elusive in higher than one dimension. Here, we show for the first time the breakdown of…

Statistical Mechanics · Physics 2022-08-30 Atsuki Yoshinaga , Hideaki Hakoshima , Takashi Imoto , Yuichiro Matsuzaki , Ryusuke Hamazaki

Quantum phase transitions in the one-dimensional extended quantum compass model in transverse field are studied by using the Jordan-Wigner transformation. This model is always gapful except at the critical surfaces where the energy gap…

Strongly Correlated Electrons · Physics 2015-05-27 R. Jafari

The tight binding model for an electron on an anisotropic triangular lattice in a uniform magnetic field is studied using a decimation scheme. The model exhibits a transition from critical to localized phase and the phase diagram is…

Condensed Matter · Physics 2007-05-23 Jukka A. Ketoja , Indubala I. Satija

We study multipartite entanglement measures for a one-dimensional Ising chain that is capable of showing both integrable and nonintegrable behaviour. This model includes the kicked transverse Ising model, which we solve exactly using the…

Quantum Physics · Physics 2009-11-10 Arul Lakshminarayan , V. Subrahmanyam

The 1+1D Ising model is an ideal benchmark for quantum algorithms, as it is very well understood theoretically. This is true even when expanding the model to include complex coupling constants. In this work, we implement quantum algorithms…

Quantum Physics · Physics 2023-12-01 Erik Gustafson , Michael Hite , Jay Hubisz , Bharath Sambasivam , Judah Unmuth-Yockey

The question of thermalisation in closed quantum many-body systems has received a lot of attention in the past few years. An intimately related question is whether a closed quantum system shows irreversible dynamics. However,…

Statistical Mechanics · Physics 2017-10-04 Markus Schmitt , Stefan Kehrein

The scaling behavior of the entanglement entropy in the two-dimensional random transverse field Ising model is studied numerically through the strong disordered renormalization group method. We find that the leading term of the entanglement…

Disordered Systems and Neural Networks · Physics 2009-11-13 Rong Yu , Hubert Saleur , Stephan Haas

We study the evolution of nearest-neighbor entanglement in the one dimensional Ising model with an external transverse field. The system is initialized as the so called "thermal ground state" of the pure Ising model. We analyze properties…

Quantum Physics · Physics 2015-05-14 Zhe Chang , Ning Wu

Tensor networks provide a useful tool to describe low-dimensional complex many-body systems. Finding efficient algorithms to use these methods for finite-temperature simulations in two dimensions is a continuing challenge. Here, we use the…

Strongly Correlated Electrons · Physics 2023-05-09 Wilhelm Kadow , Frank Pollmann , Michael Knap

The quantum phase transitions provide a paradigm for studying collective quantum phenomena that are a result of competing non-commuting interactions. This paper will study the ground state properties and quantum critical dynamics of the…

Quantum Physics · Physics 2026-01-27 Rudraksh Sharma

The Ising model in two dimensions with special toroidal boundary conditions is analyzed. These boundary condition, which we call duality twisted boundary conditions, may be interpreted as inserting a specific defect line ("seam") in the…

Statistical Mechanics · Physics 2017-12-27 Armen Poghosyan , Nickolay Izmailian , Ralph Kenna

The quantum phase transition of the one-dimensional long-range transverse-field Ising model is explored by combining the quantum Monte Carlo method and stochastic parameter optimization, specifically achieved by tuning correlation ratios so…

Statistical Mechanics · Physics 2024-12-05 Sora Shiratani , Synge Todo

We study the constraints of crossing symmetry and unitarity for conformal field theories in the presence of a boundary, with a focus on the Ising model in various dimensions. We show that an analytic approach to the bootstrap is feasible…

High Energy Physics - Theory · Physics 2015-06-11 Pedro Liendo , Leonardo Rastelli , Balt C. van Rees

Recent advances in conformal field theory and critical phenomena have focused on the characterization of boundary or defects in a conformally invariant system. In this Letter we study the critical behavior of the three-dimensional Ising…

Statistical Mechanics · Physics 2025-09-10 Dorian Przetakiewicz , Stefan Wessel , Francesco Parisen Toldin