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{{short description|Statistical lattice model with long-range interactions}} ...chain]], which only includes interactions between neighboring sites of the lattice, the Haldane–Shastry model has ''long-range'' interactions, that is, intera ...

..., it is [[Integrable system|integrable]] only on one and two-dimensional [[Lattice model (physics)|lattices]], in several special cases. ...|Kramers–Wannier]] sense and thus [[Critical phenomena|critical]], and the lattice is such that there are two possible 'weights' <math> x_k^1</math> and <math ...

...d on a lattice with <math>N</math> states on each site. The [[Hamiltonian (quantum mechanics)|Hamiltonian]] of this model is Here, the subscripts refer to lattice sites, and the sum <math>\sum_{\langle i, j \rangle}</math> is done over pa ...

{{Short description|Quantum mechanical model with coupled spins ...''' is a one-dimensional [[quantum mechanics|quantum]] [[Heisenberg model (quantum)|Heisenberg spin model]] in which the nearest-neighbour antiferromagnetic e ...

...ies and modular tensor categories to the [[algebraic theory of topological quantum information]], this theorem has found various uses within [[mathematical ph == Interpretation in terms of topological quantum field theory == ...

{{Short description|Mathematical mapping in quantum mechanics}} .../BF01331938}}.</ref> for one-dimensional [[Lattice model (physics)|lattice models]], but now two-dimensional analogues of the transformation have also been c ...

{{Short description|Type of model in quantum statistical physics}} ...ed sites on a [[lattice (group)|lattice]]. A prototypical example is the [[quantum Heisenberg model]]. Interactions between the sites are modelled by [[operat ...

...example is the [[Toric code|toric code model]], which is a special case of quantum double model by setting input group as cyclic group <math>\mathbb{Z}_2</mat == Kitaev quantum double model == ...

...tal structure|crystal lattice]]. The energy of the electrons in the "empty lattice" is the same as the energy of free electrons. The model is useful because i ...ice-Approximation.svg|thumb|400px|Free electron bands in a one dimensional lattice]] ...

{{Short description|Type of symmetry in quantum theory}} ...er]] are accidental symmetries, while in [[lattice model (physics)|lattice models]], [[rotational invariance]] is accidental. ...

{{short description|Statistical lattice model with long-range interactions}} ...chain]], which only includes interactions between neighboring sites of the lattice, the Inozemtsev model has ''long-range'' interactions, that is, interaction ...

...imilar spin-models such as the [[Ising model]] and the [[Heisenberg model (quantum)|Heisenberg model]] in that it includes a term analogous to [[kinetic energ ...d [[electrons]] in low-energy states.<ref name="sachdev">{{Cite book|title=Quantum Phase Transitions |last=Sachdev |first=Subir |url=https://books.google.com/ ...

{{Short description|Method used to solve integrable many-body quantum systems}} ...|last1=Takhtadzhan |first1=L A |last2=Faddeev |first2=Lyudvig D |title=The Quantum Method of the Inverse Problem and the Heisenberg Xyz Model |journal=Russian ...

...ation of the non-fermi-liquid state of Sachdev-Ye-Kitaev model|journal=npj Quantum Information |volume=5|pages=53|doi= 10.1038/s41534-019-0166-7|arxiv=1712.06 [[Category:Lattice models]] ...

{{Short description|Conjecture about possible critical theories for quantum lattice Hamiltonians}} ...the upper bound of the central charge for one-dimensional quantum critical lattice Hamiltonians with nearest-neighbor interactions: ...

...invariant]]s such as the [[Berry phase]] and [[Chern number]]s as in the [[Quantum Hall effect]]. ...energy, <math>\theta</math> is the twisting angle, and N is the number of lattice sites. ...

...8/1751-8113/47/45/452001|title=Parafermionic conformal field theory on the lattice|first1=Roger S K|last1=Mong|first2=David J|last2=Clarke|first3=Jason|last3= ...= 4/5 </math>, and thus belongs to the discrete family of unitary minimal models with central charge less than one. These conformal field theories are fully ...

...putational [[Solid-state physics|solid state physics]], '''Continuous-time quantum Monte Carlo''' ('''CT-QMC''') is a family of [[stochastic]] [[algorithm]]s ...ntroduced to distinguish the method from the then-predominant [[Hirsch–Fye quantum Monte Carlo]] method,<ref name=rubtsov05/> which relies on a [[Lie–Trotter ...

...It is the inspiration for cluster algorithms used in [[Quantum Monte Carlo|quantum monte carlo]] simulations. ...own whether this algorithm can be generalized for arbitrary [[spin glass]] models. ...

...el''' is a quantum version of the classical [[Ising model]]. It features a lattice with nearest neighbour interactions determined by the alignment or anti-ali ...is means classical statistical mechanics cannot describe this model, and a quantum treatment is needed. ...