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In this work we investigate the different states of a system of spin-1 bosons in two potential wells connected by tunneling, with spin-dependent interaction. The model utilizes the well-known Bose-Hubbard Hamiltonian, adding a local…

Quantum Gases · Physics 2015-04-16 D. W. S. Carvalho , A. Foerster , M. A. Gusmão

We use the coupled cluster method to investigate the ground-state (GS) properties of the frustrated spin-1/2 $J_{1}$-$J_{2}$-$J_{3}$ model on the honeycomb lattice, with nearest-neighbor exchange coupling $J_1$ plus next-nearest-neighbor…

Strongly Correlated Electrons · Physics 2012-04-24 P. H. Y. Li , R. F. Bishop

The spin-1 Heisenberg antiferromagnet on a triangular lattice with the nearest- and next-nearest-neighbor couplings, $J_1=(1-p)J$ and $J_2=pJ$, $J>0$, is studied in the entire range of the parameter $p$. Mori's projection operator technique…

Strongly Correlated Electrons · Physics 2015-05-19 P. Rubin , A. Sherman , M. Schreiber

We present detailed analytical calculations for an 1D Ising ring of arbitrary number of spin-1/2 particles, in order to reveal entanglement properties of the stationary states. We show that the ground state and specific eigenstates of the…

Quantum Physics · Physics 2007-05-23 P. Štelmachovič , V. Bužek

In view of making progress towards establishing a holographic duality for theories defined on a discrete tiling of the hyperbolic plane, we consider a recently proposed boundary spin chain Hamiltonian with aperiodic couplings that are…

High Energy Physics - Theory · Physics 2023-11-29 Pablo Basteiro , Rathindra Nath Das , Giuseppe Di Giulio , Johanna Erdmenger

Ground-state behaviour of the frustrated quantum spin-1/2 two-leg ladder with the Heisenberg intra-rung and Ising inter-rung interactions is examined in detail. The investigated model is transformed to the quantum Ising chain with composite…

Statistical Mechanics · Physics 2012-07-19 Taras Verkholyak , Jozef Strecka

We map the mean-field Ising model equation of state onto the QCD phase diagram, and reconstruct the full coexistence region in the case of a first order phase transition. Beyond the coexistence line, we maintain access to the spinodal…

Nuclear Theory · Physics 2024-09-24 Jamie M. Karthein , Volker Koch , Claudia Ratti

The density matrix renormalization group and quantum Monte Carlo method are used to describe coupled trimer chains in a magnetic field h. The Hamiltonian contains exchange terms involving the intra-trimer coupling J1 (taken as the unit of…

Strongly Correlated Electrons · Physics 2022-04-26 R. R. Montenegro-Filho , E. J. P. Silva-Junior , M. D. Coutinho-Filho

Some rigorous results are presented for a first-order quantum phase transition between the dimerized state and Haldane-type state (i.e., a state similar to the ground state of the one-dimensional spin-1 Heisenberg chain) in the spin-1/2…

Condensed Matter · Physics 2016-08-31 Y. Xian

We find all the exact eigenstates and eigenvalues of a spin-1/2 model on square lattice: $H=16g \sum_i S^y_i S^x_{i+x} S^y_{i+x+y} S^x_{i+y}$. We show that the ground states for $g<0$ and $g>0$ have different quantum orders described by Z2A…

Quantum Physics · Physics 2011-07-19 Xiao-Gang Wen

We study the finite-temperature spin dynamics of the paramagnetic phase of iron pnictides within an antiferromagnetic J_1-J_2 Heisenberg model on a square lattice with a biquadratic coupling $-K (S_i \cdot S_j)^2$ between the…

Strongly Correlated Electrons · Physics 2012-09-03 Rong Yu , Zhentao Wang , Pallab Goswami , Andriy Nevidomskyy , Qimiao Si , Elihu Abrahams

By explicitly computing wavefunction overlap via exact diagonalization in finite systems, we provide evidence indicating that, in the limit of strong coupling, i.e., $\Delta/t \to \infty$, the ground state of the Gutzwiller-projected BCS…

Strongly Correlated Electrons · Physics 2009-11-10 K. Park

We propose an exactly solvable Hamiltonian for topological phases in $3+1$ dimensions utilising ideas from higher lattice gauge theory, where the gauge symmetry is given by a finite 2-group. We explicitly show that the model is a…

Strongly Correlated Electrons · Physics 2017-04-19 Alex Bullivant , Marcos Calçada , Zoltán Kádár , Paul Martin , João Faria Martins

We use the spin functional renormalization group to investigate the $J_1$-$J_2$ quantum Heisenberg model on a square lattice. By incorporating sum rules associated with the fixed length of the spin operators as well as the nontrivial…

Strongly Correlated Electrons · Physics 2024-05-08 Andreas Rückriegel , Dmytro Tarasevych , Peter Kopietz

We propose a set of nonlinear integral equations to describe on the excited states of an integrable the spin 1 chain with anisotropy. The scaling dimensions, evaluated numerically in previous studies, are recovered analytically by using the…

High Energy Physics - Theory · Physics 2009-11-10 J. Suzuki

Motzkin chain is a model of nearest-neighbor interacting quantum $s=1$ spins with open boundary conditions. It is known that it has a unique ground state which can be viewed as a sum of Motzkin paths. We consider the case of periodic…

Mathematical Physics · Physics 2025-05-27 Andrei G. Pronko

A method is presented to transfer a system of two-level atoms from a spin coherent state to a maximally spin squeezed Dicke state, relevant for quantum metrology and quantum information processing. The initial state is the ground state of…

Quantum Physics · Physics 2016-03-23 Tomáš Opatrný , Hamed Saberi , Etienne Brion , Klaus Mølmer

We study the low-energy properties of a sawtooth chain with spin-1's at the bases of the triangles and spin-1/2's at the vertices of the triangles. The spins have Heisenberg antiferromagnetic interactions between nearest neighbors, with a…

Strongly Correlated Electrons · Physics 2009-11-10 V. Ravi Chandra , Diptiman Sen , N. B. Ivanov , J. Richter

From known phase diagram regions of different model Hamiltonians describing strongly correlated systems we deduced new domains of the ground state phase diagram of the same model by an unitary transformation. Different types of extended…

Strongly Correlated Electrons · Physics 2017-08-23 E Kovacs , Zs. Gulacsi

Double-stripe magnetism $[\mathbf{Q}=(\pi/2, \pi/2)]$ has been proposed as the magnetic ground state for both the iron-telluride and BaTi$_2$Sb$_2$O families of superconductors. Double-stripe order is captured within a $J_1-J_2-J_3$…

Superconductivity · Physics 2018-01-03 Guanghua Zhang , Rebecca Flint