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Recent developments in many-body quantum chaos have raised the issue of correlations between different families of levels in the spectra of random fermionic systems. It seems that rotational invariance is sufficient to force an otherwise…

Nuclear Theory · Physics 2007-05-23 D. Mulhall , V. Zelevinsky , A. Volya

Motivated by the physics of graphene, we consider a model of N species of 2+1 dimensional four-component massless Dirac fermions interacting through a 3D instantaneous Coulomb interaction. We show that in the limit of infinitely strong…

Strongly Correlated Electrons · Physics 2007-07-11 D. T. Son

A system of interacting spins that are under the influence of spin-polarized currents can be described using a complex functional, or a non-Hermitian (NH) Hamiltonian. We study the dynamics of two exchange-coupled spins on the Bloch sphere.…

Mesoscale and Nanoscale Physics · Physics 2023-04-12 Stavros Komineas

We show that fermionic high-spin systems with spin-changing collisions allow to monitor superexchange processes in optical superlattices with large amplitudes and strong spin fluctuations. By investigating the non-equilibrium dynamics, we…

Quantum Gases · Physics 2014-09-11 Ole Jürgensen , Jannes Heinze , Dirk-Sören Lühmann

We consider a one-dimensional trapped gas of strongly interacting few spin-1 atoms which can be described by an effective spin chain Hamiltonian. Away from the SU(3) integrable point, where the energy spectrum is highly degenerate, the…

Quantum Gases · Physics 2017-05-24 Yanxia Liu , Shu Chen , Yunbo Zhang

We study electron pumps in the absence of interference effects paying attention to the spin degree of freedom. Electron-electron exchange interactions combined with a variation of external parameters, such as magnetic field and gate…

Strongly Correlated Electrons · Physics 2015-06-24 Eran Sela , Yuval Oreg

Nonrenormalizable scalar fields, such as \varphi^4_n, n\ge5, require infinitely many distinct counter terms when perturbed about the free theory, and lead to free theories when defined as the continuum limit of a lattice regularized theory…

High Energy Physics - Theory · Physics 2011-08-04 John R. Klauder

We consider the Hamiltonian of a system of three quantum mechanical particles (two identical fermions and boson)on the three-dimensional lattice $\Z^3$ and interacting by means of zero-range attractive potentials. We describe the location…

Spectral Theory · Mathematics 2009-11-13 Sergio Albeverio , G. F. Dell Antonio , Saidakhmat N. Lakaev

Two-color spin-noise spectroscopy of interacting electron spins in singly charged semiconductor quantum dots provides information on the inter quantum dot interactions. We investigate the spin cross-correlation function in a quantum dot…

Mesoscale and Nanoscale Physics · Physics 2022-04-20 Andreas Fischer , Iris Kleinjohann , Nikolai A. Sinitsyn , Frithjof B. Anders

We investigate the Shannon entropy of the total system and its subsystems, as well as the subsystem Shannon mutual information, in quasiparticle excited states of free bosonic and fermionic chains and the ferromagnetic phase of the spin-1/2…

Quantum Physics · Physics 2024-09-17 Wentao Ye , Jiaju Zhang

In this paper a microscopic theory of spin fluctuations in an ensemble of electrons localized on donors in a bulk semiconductor has been developed. Both the hyperfine interaction of the electron spin with spins of lattice nuclei and the…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 D. S. Smirnov , M. M. Glazov , E. L. Ivchenko

We present a framework for investigating the effects of interactions on crystalline symmetry-protected topological (SPT) phases. Within this framework, one can establish a direct connection between the equivalence classes of free-fermion…

Strongly Correlated Electrons · Physics 2024-12-02 Chen-Shen Lee , Ken Shiozaki , Chang-Tse Hsieh

The aim of this paper is studying from an alternative point of view the integrability of the spin chain with long-range elliptic interactions introduced by Inozemtsev. Our analysis relies on some well-established conjectures characterizing…

Exactly Solvable and Integrable Systems · Physics 2014-12-17 Federico Finkel , Artemio Gonzalez-Lopez

Correlations in systems with spin degree of freedom are at the heart of fundamental phenomena, ranging from magnetism to superconductivity. The effects of correlations depend strongly on dimensionality, a striking example being…

This work is a sequel to our work "The Spin Density Matrix I: General Theory and Exact Master Equations" (eprint arXiv:0708.0644 [cond-mat]). Here we compare pure- and pseudo-spin dynamics using as an example a system of two quantum dots, a…

Strongly Correlated Electrons · Physics 2009-11-13 Sharif D. Kunikeev , Daniel A. Lidar

We investigate the quantum dynamics of monopole-like excitations in quantum square ice, as captured by the strongly anisotropic spin-1/2 XXZ model on the checkerboard lattice. We obtain exact results for excitation dynamics in both…

Strongly Correlated Electrons · Physics 2016-09-02 Stefanos Kourtis , Claudio Castelnovo

Understanding the relationship between many-body localization and spectra in non-Hermitian many-body systems is crucial. In a one-dimensional clean, long-range interaction-induced non-Hermitian many-body localization system, we have…

Disordered Systems and Neural Networks · Physics 2025-10-10 Wen Wang , Han-Ze Li , Jian-Xin Zhong

An invaluable method for probing the physics of a quantum many-body spin system is a mapping to noninteracting effective fermions. We find such mappings using only the frustration graph $G$ of a Hamiltonian $H$, i.e., the network of…

Quantum Physics · Physics 2021-11-09 Samuel J. Elman , Adrian Chapman , Steven T. Flammia

In this paper we investigate some particular spin lattice (a higher dimensional generalization of a spin chain) related to Zamolodchikov model, in the limit when both sizes of the lattice tend to infinity. An infinite set of bilinear…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 S. Sergeev

The interaction between a Rydberg electron and a neutral atom situated inside its extended orbit is described via contact interactions for each atom-electron scattering channel. In ultracold environments, these interactions lead to…

Atomic Physics · Physics 2017-05-10 Matthew T Eiles , Chris H Greene
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