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We have studied quantum tunneling of large spins in a biaxial spin system and in a single-axial spin system with a transverse magnetic field. The asymptotically exact eigenvalues and eigenstates of the spin systems are obtained by solving…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Bambi Hu , De-gang Zhang , Bo-zang Li

In this paper, we study the ground state of a one-dimensional exactly solvable model with a spiral order. While the model's energy spectra is the same as the one-dimensional transverse field Ising model, its ground state manifests spiral…

Strongly Correlated Electrons · Physics 2011-08-16 Shi-Jian Gu , Wing-Chi Yu , Hai-Qing Lin

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 ground entanglement and thermal entanglement in quantum mixed spin chains consisting of two integer spins 1 and two half integer spins 1/2 arrayed as ${1/2}-{1/2}-1-1$ in a unit cell with antiferromagnetic nearest-neighbor couplings…

Quantum Physics · Physics 2009-11-11 Shang-Bin Li , Zhao-Xing Xu , Jian-Hui Dai , Jing-Bo Xu

We show that the ground-state quantum correlations of an Ising model can be detected by monitoring the time evolution of a single spin alone, and that the critical point of a quantum phase transition is detected through a maximum of a…

Entanglement represents a pure quantum effect involving two or more particles. Spin systems are good candidates for studying this effect and its relation with other collective phenomena ruled by quantum mechanics. While the presence of…

Statistical Mechanics · Physics 2007-05-23 Andrea Fubini , Stephan Haas , Tommaso Roscilde , Valerio Tognetti , Paola Verrucchi

The quantum-classical transitions of the escape rates in a uniaxial spin model relevant to the molecular magnet Mn$_{12}$Ac and a biaxial anisotropic ferromagnetic particle are investigated by applying the periodic instanton method. The…

Soft Condensed Matter · Physics 2009-10-31 Y. -B. Zhang , Y. -H. Nie , S. -P. Kou , J. -Q. Liang , H. J. W. Mueller-Kirsten , F. -C. Pu

The anisotropic Kondo necklace model in 2D and 3D is treated as a genuine model for magnetic to Kondo singlet quantum phase transitions in the heavy fermion (HF) compounds. The variation of the quantum critical point (QCP) with anisotropy…

Strongly Correlated Electrons · Physics 2018-02-02 P. Thalmeier , A. Langari

The Heisenberg model on a triangular lattice is a prime example for a geometrically frustrated spin system. However most experimentally accessible compounds have spatially anisotropic exchange interactions. As a function of this anisotropy,…

Strongly Correlated Electrons · Physics 2014-05-05 Burkhard Schmidt , Peter Thalmeier

We study quantum phase transitions in the Bose-Fermi Kondo problem, where a local spin is coupled to independent bosonic and fermionic degrees of freedom. Applying a second order expansion in the anomalous dimension of the Bose field we…

Strongly Correlated Electrons · Physics 2007-05-23 Gergely Zarand , Eugene Demler

Using unbiased Monte Carlo simulations and variational analysis, we present the ground state and finite temperature phase diagrams of an exactly solvable spin-orbital model with Kitaev-type interactions on a square lattice. We show that an…

Strongly Correlated Electrons · Physics 2024-01-29 Ritwika Majumder , Onur Erten , Anamitra Mukherjee

A variational approach based on the multi-coherent-state ansatz with asymmetric parameters is employed to study the ground state of the spin-boson model. Without any artificial approximations except for the finite number of the coherent…

Quantum Gases · Physics 2014-12-22 Liwei Duan , Shu He , Qing-Hu Chen

The spherical model for spins describes ferromagnetic phase transitions well, but it fails at low temperatures. A quantum version of the spherical model is proposed. It does not induce qualitative changes near the phase transition. However,…

Condensed Matter · Physics 2009-10-22 Th. M. Nieuwenhuizen

In this work we propose a novel solid-state platform for creating quantum simulators based on implanted spin centers in semiconductors. We show that under the presence of an external magnetic field, an array of $S=1$ spin centers…

Strongly Correlated Electrons · Physics 2024-12-02 Troy Losey , Denis R. Candido , Jin Zhang , Y. Meurice , M. E. Flatté , S. -W. Tsai

We suggest using the method of quantum annealing for computing the ground state of the Heisenberg spin chains. Our initial Hamiltonian describes a spin system in a highly non-uniform magnetic field. The initial Hamiltonian gradually…

Quantum Physics · Physics 2007-05-23 G. P. Berman , V. N. Gorshkov , V. I. Tsifrinovich

Quantum dynamics of anisotropic spin system with large spin moment in a swept magnetic field is theoretically investigated. Magnetic field of this type induces vortex static electrical field, that breaks down the axial symmetry and induces…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. K. Zvezdin

We control quantum fluctuations to create the ground state magnetic phases of a classical Ising model with a tunable longitudinal magnetic field using a system of 6 to 10 atomic ion spins. Due to the long-range Ising interactions, the…

We study detailed classical-quantum correspondence for a cluster system of three spins with single-axis anisotropic exchange coupling. With autoregressive spectral estimation, we find oscillating terms in the quantum density of states…

Condensed Matter · Physics 2007-05-23 P. A. Houle , N. G. Zhang , C. L. Henley

We study the model of a biaxial single ferromagnetic spin Hamiltonian with an external magnetic field applied along the medium axis. The phase transition of the escape rate is investigated. Two different but equivalent methods are…

Mesoscale and Nanoscale Physics · Physics 2014-03-19 S. A. Owerre , M. B. Paranjape

Over the last few years it was pointed out that certain observables of time-evolving quantum systems may have singularities at certain moments in time, mimicking the singularities physical systems have when undergoing phase transitions.…

Statistical Mechanics · Physics 2019-09-11 V. Gurarie