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We study the spin- and energy dynamics in one-dimensional spin-1/2 systems induced by local quantum quenches at finite temperatures using a time-dependent density matrix renormalization group method. System sizes are chosen large enough to…

Strongly Correlated Electrons · Physics 2015-06-18 C. Karrasch , J. E. Moore , F. Heidrich-Meisner

We report on the observation of anti-ferromagnetic correlations of ultracold fermions in a variety of optical lattice geometries that are well described by the Hubbard model, including dimers, 1D chains, ladders, isolated and coupled…

Quantum Gases · Physics 2015-12-30 Daniel Greif , Gregor Jotzu , Michael Messer , Rémi Desbuquois , Tilman Esslinger

We study the planar antiferromagnetic Heisenberg model on a decorated hexagonal lattice, involving both classical spins (occupying the vertices) and quantum spins (occupying the middle of the links). This study is motivated by the…

Condensed Matter · Physics 2009-10-28 J. Leandri , Y. Leroyer , S. V. Meshkov , Y. Meurdesoif , O. Kahn , B. Mombelli , D. Price

A computer aided high temperature expansion of the magnetic susceptibility and the magnetic specific heat is presented and demonstrated for frustrated and unfrustrated spin chains. The results are analytic in nature since the calculations…

Strongly Correlated Electrons · Physics 2009-10-31 Alexander Buehler , Norbert Elstner , Goetz S. Uhrig

Many frustrated spin models on three-dimensional (3D) lattices are currently being investigated, both experimentally and theoretically, and develop new types of long-range orders in their respective phase diagrams. They present…

Strongly Correlated Electrons · Physics 2023-07-06 M. G. Gonzalez , B. Bernu , L. Pierre , L. Messio

We consider a wide class of quantum spin systems obtained by adding a transverse field to a classical Hamiltonian. We give explicit high-temperature conditions which guarantee exponential decay of correlations. A stochastic-geometric…

Probability · Mathematics 2010-05-21 Alessandra Cipriani , Paolo Dai Pra

Combining a lattice path integral formulation for thermodynamics with the solution of the quantum inverse scattering problem for local spin operators, we derive a multiple integral representation for the time-dependent longitudinal…

Statistical Mechanics · Physics 2008-11-26 Kazumitsu Sakai

We study the finite temperature phase diagram of the Heisenberg-Kitaev model on a three dimensional hyperhoneycomb lattice. Using semiclassical analysis and classical Monte-Carlo simulations, we investigate quantum and thermal…

Strongly Correlated Electrons · Physics 2015-06-17 SungBin Lee , Eric Kin-Ho Lee , Arun Paramekanti , Yong Baek Kim

We consider integrable quantum spin chains with competing interactions. We apply the quantum transfer matrix approach to these spin chains. This allowed us to derive a set of non-linear integral equations for the thermodynamics of these…

Statistical Mechanics · Physics 2014-09-05 T. S. Tavares , G. A. P. Ribeiro

The physics of non-zero temperature dynamics and transport near quantum-critical points is discussed by a detailed study of the O(N)-symmetric, relativistic, quantum field theory of a N-component scalar field in $d$ spatial dimensions. A…

Strongly Correlated Electrons · Physics 2025-09-08 Subir Sachdev

We consider classical $O(N)$ vector models in dimension three and higher and investigate the nature of the low-temperature expansions for their multipoint spin correlations. We prove that such expansions define asymptotic series, and derive…

Mathematical Physics · Physics 2025-03-12 Alessandro Giuliani , Sébastien Ott

The dynamics in quantum magnets can often be described by effective models with bosonic excitations obeying a hard-core constraint. Such models can be systematically derived by renormalization schemes such as continuous unitary…

Strongly Correlated Electrons · Physics 2014-08-12 Benedikt Fauseweh , Joachim Stolze , Götz S. Uhrig

Temporal quark correlation functions are analyzed in quenched lattice QCD for two values of temperature above the critical temperature (Tc) for deconfinement, T=1.5Tc and 3Tc. A two-pole ansatz for the quark spectral function is used to…

High Energy Physics - Lattice · Physics 2013-05-30 Olaf Kaczmarek , Frithjof Karsch , Masakiyo Kitazawa , Wolfgang Soeldner

With an auxiliary weak external magnetic field, we reexamine the fundamental thermodynamic function, Gibbs free energy F(T, h), to study the phase transitions in the classical spin lattice models. A cross derivative, i.e. the second-order…

Strongly Correlated Electrons · Physics 2020-04-22 Y. Chen , K. Ji , Z. Y. Xie , J. F. Yu

A generic question in the field of ultrafast dynamics is concerned with the relaxation dynamics and the subsequent thermalization of optically excited charge carriers. Among several possible relaxation channels available in a solid-state…

Strongly Correlated Electrons · Physics 2026-04-24 Arturo Perez-Romero , Mica Schwarm , Fabian Heidrich-Meisner

We develop high temperature series expansions for $\ln{Z}$ and the uniform structure factor of the spin-half Heisenberg model on the hyperkagome lattice to order $\beta^{16}$. These expansions are used to calculate the uniform…

Strongly Correlated Electrons · Physics 2015-06-03 R. R. P. Singh , J. Oitmaa

We characterize the high-temperature thermodynamics of rotating bosons and fermions in two- (2D) and three-dimensional (3D) isotropic harmonic trapping potentials. We begin by calculating analytically the conventional virial coefficients…

Quantum Gases · Physics 2020-08-12 C. E. Berger , K. J. Morrell , J. E. Drut

We estimate the critical temperature of a family of quantum spin systems on regular trees of large degree. The systems include the spin-$\frac12$ XXZ model and the spin-1 nematic model. Our formula is conjectured to be valid for…

Mathematical Physics · Physics 2018-11-27 Jakob E. Björnberg , Daniel Ueltschi

We develop a systematic expansion method of physical quantities for the SK model and the finite-dimensional $\pm J$ model of spin glasses in non-equilibrium states. The dynamical probability distribution function is derived from the master…

Disordered Systems and Neural Networks · Physics 2009-10-30 Michiko Yamana , Hidetoshi Nishimori , Tadashi Kadowaki , D. Sherrington

We introduce an extension of the Kitaev honeycomb model by including four-spin interactions that preserve the local gauge structure and hence the integrability of the original model. The extended model has a rich phase diagram containing…

Strongly Correlated Electrons · Physics 2019-08-07 Shang-Shun Zhang , Zhentao Wang , Gábor B. Halász , Cristian D. Batista