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We study random Hamiltonians on finite-size cubes and waveguide segments of increasing diameter. The number of random parameters determining the operator is proportional to the volume of the cube. In the asymptotic regime where the cube…

偏微分方程分析 · 数学 2016-01-15 Denis Borisov , Anastasia Golovina , Ivan Veselic

In this letter we continue the investigation of finite XXZ spin chains with periodic boundary conditions and odd number of sites, initiated in paper \cite{S}. As it turned out, for a special value of the asymmetry parameter $\Delta=-1/2$…

统计力学 · 物理学 2008-11-26 A. V. Razumov , Yu. G. Stroganov

Using some modification of the standard fermion technique we derive factorized formula for spin operator matrix elements (form-factors) between general eigenstates of the Hamiltonian of quantum Ising chain in a transverse field of finite…

统计力学 · 物理学 2011-12-05 N. Iorgov , V. Shadura , Yu. Tykhyy

An exact invariant is derived for $n$-degree-of-freedom Hamiltonian systems with general time-dependent potentials. The invariant is worked out in two equivalent ways. In the first approach, we define a special {\it Ansatz\/} for the…

经典物理 · 物理学 2023-03-23 Jürgen Struckmeier , Claus Riedel

Recent work proposed a variant on Ramsey interferometry for coupled spin-$1/2$ systems that directly measures the retarded spin-spin Green's function. We expand on that work by investigating nonequilibrium retarded spin-spin Green's…

量子物理 · 物理学 2016-05-25 Bryce T. Yoshimura , J. K. Freericks

We show that the dynamics of an Ising spin chain in a transverse field conserves the number of domains (strings of down spins in an up-spin background) at discrete times. This enables the determination of the eigenfunctions of the…

强关联电子 · 物理学 2009-11-10 V. Subrahmanyam

It is shown that a symmetric massless bosonic higher-spin field can be described by a traceless tensor field with reduced (transverse) gauge invariance. The Hamiltonian analysis of the transverse gauge invariant higher-spin models is used…

高能物理 - 理论 · 物理学 2008-11-26 E. D. Skvortsov , M. A. Vasiliev

We study the critical and off-critical (Griffiths-McCoy) regions of the random transverse-field Ising spin chain by analytical and numerical methods and by phenomenological scaling considerations. Here we extend previous investigations to…

无序系统与神经网络 · 物理学 2009-10-30 F. Igloi , H. Rieger

We studied numerically the distribution of the entanglement Hamiltonian eigenvalues in two one-dimensional free fermion models and the typical three-dimensional Anderson model. We showed numerically that this distribution depends on the…

强关联电子 · 物理学 2020-07-01 Mohammad Pouranvari

We consider the mapping of tight-binding electronic structure theory to a local spin Hamiltonian, based on the adiabatic approximation for spin degrees of freedom in itinerant-electron systems. Local spin Hamiltonians are introduced in…

An extension of the Heisenberg Hamiltonian is discussed, that allows to go beyond the standard bilinear spin Hamiltonian taking into account various contributions due to multispin interactions having both chiral and non-chiral character.…

材料科学 · 物理学 2020-05-06 S. Mankovsky , S. Polesya , H. Ebert

This work presented a perturbational decomposition method for simulating quantum evolution under the one-dimensional Ising model with both longitudinal and transverse fields. By treating the transverse field terms as perturbations in the…

量子物理 · 物理学 2024-12-24 Youning Li , Junfeng Huang , Chao Zhang , Jun Li

Using quantum Monte Carlo simulations and field-theory arguments, we study the fully frustrated (Villain) transverse-field Ising model on the square lattice. We consider a "primary" spin order parameter and a "secondary" dimer order…

强关联电子 · 物理学 2024-06-11 Gabe Schumm , Hui Shao , Wenan Guo , Frédéric Mila , Anders W. Sandvik

We study the out-of-equilibrium probability distribution function of the local order parameter in the transverse field Ising quantum chain. Starting from a fully polarised state, the relaxation of the ferromagnetic order is analysed: we…

统计力学 · 物理学 2019-12-04 Mario Collura

Precise knowledge of the Hamiltonian of a system is a key to many of its applications. Tasks such state transfer or quantum computation have been well studied with a linear chain, but hardly with systems, which do not possess a linear…

量子物理 · 物理学 2013-05-29 Marcin Wiesniak , Marcin Markiewicz

The construction of a statistical model for eigenfunctions of the Ising model in transverse and longitudinal fields is discussed in detail for the chaotic case. When the number of spins is large, each wave function coefficient has the…

数学物理 · 物理学 2015-03-17 Y. Y. Atas , E. Bogomolny

Quantum metrology has been studied for a wide range of systems with time-independent Hamiltonians. For systems with time-dependent Hamiltonians, however, due to the complexity of dynamics, little has been known about quantum metrology. Here…

量子物理 · 物理学 2017-03-10 Shengshi Pang , Andrew N. Jordan

We consider transformation from a closed to an open spin chain and vice versa produced by changing single link strength in a pair of neighboring spins. We show that in the non-adiabatic time domain fidelity of such a process can be…

量子物理 · 物理学 2019-08-13 P. V. Pyshkin , E. Ya. Sherman , Lian-Ao Wu

We train a set of Restricted Boltzmann Machines (RBMs) on one- and two-dimensional Ising spin configurations at various values of temperature, generated using Monte Carlo simulations. We validate the training procedure by monitoring several…

计算物理 · 物理学 2019-08-14 Guido Cossu , Luigi Del Debbio , Tommaso Giani , Ava Khamseh , Michael Wilson

We consider self-dual transverse-field Ising spin chains with $m$-spin interaction, where the phase transition is of second and first order, for m <= 3 and m>3, respectively. We present a statistical analysis of the spectra of the…

统计力学 · 物理学 2007-05-23 Jean Christian Angles d'Auriac , Ferenc Igloi