Integrable spin chains and cellular automata with medium-range interaction
We study integrable spin chains and quantum and classical cellular automata with
interaction range ℓ≥ 3. This is a family of integrable models for which there was no general …
interaction range ℓ≥ 3. This is a family of integrable models for which there was no general …
Random free-fermion quantum spin chain with multispin interactions
We study the effects of quenched disorder in a class of quantum chains with (p+ 1)-multispin
interactions exhibiting a free fermionic spectrum, paying special attention to the case p= 2 …
interactions exhibiting a free fermionic spectrum, paying special attention to the case p= 2 …
Ising analogs of quantum spin chains with multispin interactions
A new family of free fermionic quantum spin chains with multispin interactions was recently
introduced. Here we show that it is possible to build standard quantum Ising chains—but …
introduced. Here we show that it is possible to build standard quantum Ising chains—but …
A unified graph-theoretic framework for free-fermion solvability
We show that a quantum spin system has an exact description by non-interacting fermions if
its frustration graph is claw-free and contains a simplicial clique. The frustration graph of a …
its frustration graph is claw-free and contains a simplicial clique. The frustration graph of a …
Quantum circuits with free fermions in disguise
B Pozsgay - arXiv preprint arXiv:2402.02984, 2024 - arxiv.org
Recently multiple families of spin chain models were found, which have a free fermionic
spectrum, even though they are not solvable by a Jordan-Wigner transformation. Instead, the …
spectrum, even though they are not solvable by a Jordan-Wigner transformation. Instead, the …
Exceptional points in the Baxter-Fendley free parafermion model
R Henry, M Batchelor - SciPost Physics, 2023 - scipost.org
Certain spin chains, such as the quantum Ising chain, have free fermion spectra which can
be expressed as the sum of decoupled two-level fermionic systems. Free parafermions are a …
be expressed as the sum of decoupled two-level fermionic systems. Free parafermions are a …
[HTML][HTML] A brief history of free parafermions
In this article we outline the historical development and key results obtained to date for free
parafermionic spin chains. The concept of free parafermions provides a natural N-state …
parafermionic spin chains. The concept of free parafermions provides a natural N-state …
Conformally invariant free-parafermionic quantum chains with multispin interactions
FC Alcaraz, LM Ramos - Physical Review E, 2024 - APS
We calculate the spectral properties of two related families of non-Hermitian free-particle
quantum chains with N-multispin interactions (N= 2, 3,...). The first family have a Z (N) …
quantum chains with N-multispin interactions (N= 2, 3,...). The first family have a Z (N) …
Exact real time dynamics with free fermions in disguise
We consider quantum spin chains with a hidden free fermionic structure, distinct from the
Jordan-Wigner transformation and its generalizations. We express selected local operators …
Jordan-Wigner transformation and its generalizations. We express selected local operators …
Exactly soluble models in many-body physics
S Elman - 2023 - ses.library.usyd.edu.au
Almost all phenomena in the universe are described, at the fundamental level, by quantum
manybody models. In general, however, a complete understanding of large systems with …
manybody models. In general, however, a complete understanding of large systems with …