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We review recent results on the existence of ground states for the infrared-critical spin boson model, which describes the interaction of a massless bosonic field with a two-state quantum system. Explicitly, we derive a critical coupling…

Mathematical Physics · Physics 2023-06-30 Benjamin Hinrichs

We investigate ground-state and finite temperature properties of the mixed-spin $(s, S)$ Kitaev model. When one of spins is half-integer and the other is integer, we introduce two kinds of local symmetries, which results in a macroscopic…

Strongly Correlated Electrons · Physics 2019-09-11 Akihisa Koga , Joji Nasu

Convergent expansions of the wavefunctions for the ground state and low-lying excited states of quantum transverse Ising systems are obtained. These expansions are employed to prove that the dispersion relation for a single quasi-particle…

Statistical Mechanics · Physics 2007-05-23 Nilanjana Datta , Tom Kennedy

We discuss the transition strength between the disordered ground state and the basic low-lying triplet excitation for interacting dimer materials by presenting theoretical calculations and series expansions as well as inelastic neutron…

Strongly Correlated Electrons · Physics 2009-11-10 M. Mueller , H. -J. Mikeska , N. Cavadini

Designing and optimizing cost functions and energy landscapes is a problem encountered in many fields of science and engineering. These landscapes and cost functions can be embedded and annealed in experimentally controllable spin…

Quantum Physics · Physics 2012-09-14 J. D. Whitfield , M. Faccin , J. D. Biamonte

We demonstrate that multipartite entanglement is able to characterize one-dimensional symmetry-protected topological order, which is witnessed by the scaling behavior of the quantum Fisher information of the ground state with respect to the…

Quantum Physics · Physics 2018-06-22 Yu-Ran Zhang , Yu Zeng , Heng Fan , J. Q. You , Franco Nori

We study the Kitaev model on a ladder network and find the complete spectrum of the Hamiltonian in closed form. Closed and manageable forms for all eigenvalues and eigenvectors, allow us to calculate the partition function and averages of…

Quantum Physics · Physics 2015-05-13 Vahid Karimipour

We present the quantum ground state properties of $^{23}$Na spinor condensates, which is confined in a periodic or double-well potential and subject to a magnetic dipole-dipole interaction between nearby wells. A novel singlet state arise…

Quantum Gases · Physics 2012-03-16 Jie Zhang

We investigate the ground state properties of $\mathrm{Na_2IrO_3}$ based on numerical calculations of the recently proposed {\it ab initio} Hamiltonian represented by Kitaev and extended Heisenberg interactions. To overcome the limitation…

Strongly Correlated Electrons · Physics 2017-08-30 Tsuyoshi Okubo , Kazuya Shinjo , Youhei Yamaji , Naoki Kawashima , Shigetoshi Sota , Takami Tohyama , Masatoshi Imada

The paper presents a computational study of the ground-state properties of a quantum nanomagnet possessing the shape of a finite two-legged ladder composed of 12 spins $S=1/2$. The system is described with isotropic quantum Heisenberg model…

Statistical Mechanics · Physics 2018-01-03 K. Szałowski , P. Kowalewska

We combine tensor-network approaches and high-order linked-cluster expansions to investigate the quantum phase diagram of the antiferromagnetic Kitaev's honeycomb model in a magnetic field for general spin values. For the pure Kitaev model,…

Strongly Correlated Electrons · Physics 2024-10-08 Saeed S. Jahromi , Max Hörmann , Patrick Adelhardt , Sebastian Fey , Hooman Karamnejad , Roman Orus , Kai Phillip Schmidt

Molecular dimers are widely utilized as a tool to investigate the structure-property relationships behind the complex photophysical processes of condensed-phase systems, where structural tuning remains a challenge. This approach often…

We study correlation effects and excitations in a dipolar Bose gas bilayer which is modeled by a one-dimensional double well trap that determines the width of an individual layer, the distance between the two layers, and the height of the…

Quantum Gases · Physics 2015-06-12 Diana Hufnagl , Robert E. Zillich

We analyse the low temperature properties of a system of classical Heisenberg spins on a hexagonal lattice with Kitaev couplings. For a lattice of 2N sites with periodic boundary conditions, we show that the ground states form an (N+1)…

Statistical Mechanics · Physics 2010-09-14 Samarth Chandra , Kabir Ramola , Deepak Dhar

We construct a double field theory coupled to the fields present in Vasiliev's equations. Employing the "semi-covariant" differential geometry, we spell a functional in which each term is completely covariant with respect to…

High Energy Physics - Theory · Physics 2016-07-14 Xavier Bekaert , Jeong-Hyuck Park

The ground state energy of a boundary quantum field theory is derived in planar geometry in D+1 dimensional spacetime. It provides a universal expression for the Casimir energy which exhibits its dependence on the boundary conditions via…

High Energy Physics - Theory · Physics 2009-11-11 Z. Bajnok , L. Palla , G. Takacs

We summarize our recent results on the ground state energy of multi-polaron systems. In particular, we discuss stability and existence of the thermodynamic limit, and we discuss the absence of binding in the case of large Coulomb repulsion…

Mathematical Physics · Physics 2012-09-18 Rupert L. Frank , Elliott H. Lieb , Robert Seiringer , Lawrence E. Thomas

We study the ground-state properties of a two-dimensional spin-polarized fluid of dipolar fermions within the Euler-Lagrange Fermi-hypernetted-chain approximation. Our method is based on the solution of a scattering Schr\"odinger equation…

Quantum Gases · Physics 2013-11-07 Saeed H. Abedinpour , Reza Asgari , B. Tanatar , Marco Polini

Casimir effect in the planar setting is described using the boundary state formalism, for general partially reflecting boundaries. It is expressed in terms of the low-energy degrees of freedom, which provides a large distance expansion…

High Energy Physics - Theory · Physics 2008-11-26 Z. Bajnok , L. Palla , G. Takacs

In this work, we analyze the nonsymmorphic symmetry group structures for a variety of generalized Kitaev spin chains and ladders with bond alternations, including Kitaev-Gamma chain, Kitaev-Heisenberg-Gamma chain, beyond nearest neighbor…

Strongly Correlated Electrons · Physics 2022-08-24 Wang Yang , Alberto Nocera , Paul Herringer , Robert Raussendorf , Ian Affleck
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