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A nuclear-spin exchange interaction exists between two ultracold fermionic alkali-earth (like) atoms in the electronic $^{1}{\rm S}_{0}$ state ($g$-state) and $^{3}{\rm P}_{0}$ state ($e$-state), and is an essential ingredient for the…

Quantum Gases · Physics 2018-11-14 Ren Zhang , Peng Zhang

We have investigated the quasi-one dimensional Ni-chain compound PbMn$_2$Ni$_6$Te$_2$O$_{18}$ using theoretical DFT calculations, inelastic neutron scattering and optical spectroscopy in order to understand the nature of magnetic exchange…

We address quantum characterization of anisotropic spin chains in the presence of antisymmetric exchange, and investigate whether the Hamiltonian parameters of the chain may be estimated with precision approaching the ultimate limit imposed…

Quantum Physics · Physics 2025-02-18 Simone Cavazzoni , Marco Adani , Paolo Bordone , Matteo G. A. Paris

We consider a system of N nonrelativistic particles of spin 1/2 interacting with the quantized Maxwell field (mass zero and spin one) in the limit when the particles have a small velocity, imposing to the interaction an ultraviolet cutoff,…

Mathematical Physics · Physics 2008-06-06 L. Tenuta

The low-energy excitations of a two-component repulsive Fermi gas confined to one dimension are linear dispersing spin- and charge-density waves whose respective propagation velocities depend on the strength and sign of their interaction.…

We provide a detailed study of the properties of a few interacting spin $1/2$ fermions trapped in a one-dimensional harmonic oscillator potential. The interaction is assumed to be well represented by a contact delta potential. Numerical…

Quantum Gases · Physics 2025-04-23 Abel Rojo-Francàs , Artur Polls , Bruno Juliá-Díaz

We propose a model describing $N$ spin-1/2 systems coupled through $N$-order homogeneous interaction terms, in presence of local time-dependent magnetic fields. This model can be experimentally implemented with current technologies in…

Quantum Physics · Physics 2018-10-25 R. Grimaudo , L. Lamata , E. Solano , A. Messina

We calculate the quantum phase diagram of the {\it XXZ} chain with nearest-neighbor (NN) $J_{1}$ and next-NN exchange $J_{2}$ with anisotropies $\Delta_{1}$ and $\Delta_{2}$ respectively. In particular we consider the case…

Condensed Matter · Physics 2009-11-07 R. D. Somma , A. A. Aligia

The dynamical properties at T=0 of the one-dimensional (1D) s=1/2 nearest-neighbor (nn) XXZ model with an additional isotropic next-nearest-neighbor (nnn) coupling are investigated by means of the recursion method in combination with…

Condensed Matter · Physics 2009-10-28 Yongmin Yu , Gerhard Müller , V. S. Viswanath

We investigate the spin-1/2 Heisenberg model on the delta chain (sawtooth chain) with ferromagnetic nearest-neighbor and antiferromagnetic next-neighbor interactions. For a special ratio between these interactions there is a class of exact…

Strongly Correlated Electrons · Physics 2014-08-06 V. Ya. Krivnov , D. V. Dmitriev , S. Nishimoto , S. -L. Drechsler , J. Richter

We study the equilibrium and dynamical properties of the ANNNI (axial next-nearest-neighbor Ising) chain at the multiphase point. An interesting property of the system is the macroscopic degeneracy of the ground state leading to finite…

Statistical Mechanics · Physics 2009-10-31 Abhishek Dhar , B. Sriram Shastry , Chandan Dasgupta

We analyse the rigidity of discrete energies where at least nearest and next-to-nearest neighbour interactions are taken into account. Our purpose is to show that interactions beyond nearest neighbours have the role of penalising changes of…

Analysis of PDEs · Mathematics 2016-02-15 Roberto Alicandro , Giuliano Lazzaroni , Mariapia Palombaro

We show that Nearest-Neighbour Interaction (NNI) textures for the quark mass matrices can be obtained through the introduction of an Abelian flavour symmetry. The minimal realisation requires a Z_4 symmetry in the context of a two Higgs…

High Energy Physics - Phenomenology · Physics 2014-11-20 G. C. Branco , D. Emmanuel-Costa , C. Simoes

For S=1 system with general isotropic nearest-neighbor exchange, we derive the low-energy description of the spin nematic phase in terms of the RP^{2} nonlinear sigma-model. In one dimension, quantum fluctuations destroy long-range nematic…

Strongly Correlated Electrons · Physics 2008-04-22 Boris A. Ivanov , Alexei K. Kolezhuk

We construct and study a class of N particle supersymmetric Hamiltonians with nearest and next-nearest neighbor inverse-square interaction in one dimension. We show that inhomogeneous XY models in an external non-uniform magnetic field can…

High Energy Physics - Theory · Physics 2009-10-31 Tetsuo Deguchi , Pijush K. Ghosh

A one-dimensional electron system at quarter-filling has been examined by applying the renormalization group method to a bosonized model with on-site (U) and nearest-neighbor (V) repulsive interactions. By evaluating both normal scattering…

Strongly Correlated Electrons · Physics 2009-10-31 Hideo Yoshioka , Masahisa Tsuchiizu , Yoshikazu Suzumura

Dynamic spin correlation function of the $S=1/2$ antiferromagnetic spin chain with alternating nearest neighbor and competing next nearest neighbor interactions is studied using the numerical diagonalization method. We find characteristics…

Condensed Matter · Physics 2009-10-31 Shigeyoshi Mori , Isao Harada , Takashi Tonegawa

In this paper we return to the problem of reduced-state dynamics in the presence of an interacting environment. The question we investigate is how to appropriately model a particular system evolution given some knowledge of the…

Quantum Physics · Physics 2015-07-02 Eric Chitambar , Ali Abu-Nada , Russell Ceballos , Mark Byrd

Attractive non-local interactions jointly with repulsive local interaction in a microscopic modelling of electronic Fermi liquids generate a competition between an enhancement of the static charge susceptibility---ultimately signalling…

Strongly Correlated Electrons · Physics 2016-12-13 Raymond Fresard , Kevin Steffen , Thilo Kopp

Low-energy magnetic excitations in the spin-1/2 chain compound (C$_6$H$_9$N$_2$)CuCl$_3$ [known as (6MAP)CuCl$_3$] are probed by means of tunable-frequency electron spin resonance. Two modes with asymmetric (with respect to the $h\nu=g\mu_B…

Strongly Correlated Electrons · Physics 2015-05-19 M. Ozerov , A. A. Zvyagin , E. Čižmár , J. Wosnitza , R. Feyerherm , F. Xiao , C. P. Landee , S. A. Zvyagin