Related papers: Quantum group deformation of the Kittel--Shore model

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We present four different $1+1$D quantum models that realize the Yang-Lee phase transition under a deformation that preserves $PT$ symmetry.<n>We identify the YL critical point, compute the scaling dimensions of the lowest operators in each model, and find perfect agreement with the exact results for the YL criticality in two dimensions.
arXiv Detail & Related papers (2026-06-18T02:56:38Z)
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We consider the massive Thirring and Gross-Neveu models with arbitrary number of fermion flavors, $N_f$, discretized on a spatial one-dimensional lattice of size $L$.<n>We prepare the ground states of both models with excellent fidelity for system sizes up to 20 qubits with $N_f = 1,2,3,4$.<n>Our work is a concrete step towards the quantum simulation of real-time dynamics of large $N_f$ fermionic quantum field theories models.
arXiv Detail & Related papers (2026-02-25T19:00:01Z)
Quantum model for black holes and clocks [41.99844472131922]
We consider a stationary quantum system consisting of two non-interacting yet entangled subsystems, $$ and $$.<n>We identify a quantum theory characterizing $$ such that, in the quantum-to-classical crossover of the composite system, $$ behaves as a test particle within the gravitational field of a Schwarzschild Black Hole.<n>This leads us to discuss how the quantum model for $$ endows the SBH with all the characteristics of a "perfect" clock.
arXiv Detail & Related papers (2026-01-12T11:26:06Z)
Theta-term in Russian Doll Model: phase structure, quantum metric and BPS multifractality [45.88028371034407]
We investigate the phase structure of the deterministic and disordered versions of the Russian Doll Model (RDM)<n>We find the pattern of phase transitions in the global charge $Q(theta,gamma)$, which arises from the BA equation.<n>We conjecture that the Hamiltonian of the RDM model describes the mixing in particular 2d-4d BPS sector of the Hilbert space.
arXiv Detail & Related papers (2025-10-23T17:25:01Z)
Field digitization scaling in a $\mathbb{Z}_N \subset U(1)$ symmetric model [0.0]
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arXiv Detail & Related papers (2025-07-30T18:00:02Z)
Meson spectroscopy of exotic symmetries of Ising criticality in Rydberg atom arrays [39.58317527488534]
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arXiv Detail & Related papers (2025-06-26T14:19:30Z)
Fully Generalized Spin Models with Strain Effects of Kitaev Spin Liquid Candidate Materials [0.0]
We introduce a fully generalized spin model, $epsilon$-$KJGammaGamma'$, that explicitly incorporates arbitrary lattice deformations $epsilon$.<n>All spin-exchange interactions and their strain-dependent coefficients are obtained from density-functional theory calculations.<n>Our symmetry analysis of the $epsilon$-$KJGammaGamma'$ model is applicable to both $d5$ ions, such as $alpha$-RuCl$_3$, and $d7$ systems, including cobalt-based compounds
arXiv Detail & Related papers (2025-05-29T18:02:32Z)
Bridging conformal field theory and parton approaches to SU(n)_k chiral spin liquids [48.225436651971805]
We employ the $mathrmSU(n)_k$ Wess-Zumino-Witten (WZW) model in conformal field theory to construct lattice wave functions in both one and two dimensions.<n>The spins on all lattice sites are chosen to transform under the $mathrmSU(n)$ irreducible representation with a single row and $k$ boxes in the Young tableau.
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Fermionic parton theory of Rydberg $\mathbb{Z}_2$ quantum spin liquids [0.0]
We describe the symmetry fractionalization patterns in a topologically ordered $mathbbZ_2$ quantum spin liquid (QSL) We also present detailed analyses of the dynamical structure factors as a reference for future experiments.
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We investigate an ensemble consisting of $N$ four-level atoms within an optical cavity coupled to the single cavity mode and external laser fields. Some novel phases characterized by the phase differences between the polarized cavity field or the atomic spin excitation and the Raman laser are found analytically. It is found that besides the continuous $U(1)$ and discrete $mathbbZ$ symmetries, the system also exhibits two reflection symmetries $sigma_v$s, a central symmetry $C$ in the abstract position-momentum representation, and a discrete reflection-time symmetry
arXiv Detail & Related papers (2024-08-19T16:10:47Z)
Chiral spin liquid in a generalized Kitaev honeycomb model with $\mathbb{Z}_4$ 1-form symmetry [5.05619453134404]
We explore a large $N$ generalization of the Kitaev model on the honeycomb lattice with a simple nearest-neighbor interacting Hamiltonian. In particular, we focus on the $mathbbZ_4$ case with isotropic couplings, which is characterized by an exact $mathbbZ_4$ one-form symmetry. A unified perspective for all $mathbbZ_N$ type Kitaev models is also discussed.
arXiv Detail & Related papers (2024-08-04T14:53:23Z)
A Bosonic Model of Quantum Holography [0.0]
We analyze a model of qubits which we argue has an emergent quantum gravitational description similar to the fermionic Sachdev-Ye-Kitaev (SYK) model. The model is known as the quantum $q$-spin model because it features $q$-local interactions between qubits.
arXiv Detail & Related papers (2023-11-02T18:04:10Z)
Designs from Local Random Quantum Circuits with SU(d) Symmetry [10.563048698227115]
We construct, for the first time, explicit local unitary ensembles that can achieve high-order unitary $k$-designs under continuous symmetry.<n>Specifically, we define the Convolutional Quantum Alternating group (CQA) generated by 4-local SU$(d)$-symmetric Hamiltonians.<n>We prove that they form and converge to SU$(d)$-symmetric $k$-designs, respectively, for all $k n(n-3)/2$ with $n$ being the number of qudits.
arXiv Detail & Related papers (2023-09-15T04:41:10Z)
Models for quantum measurement of particles with higher spin [0.0]
The Curie-Weiss model for quantum measurement describes the measurement of a spin-$frac12$ by an apparatus consisting of an Ising magnet of many spins. The Hamiltonian of the magnet, its entropy and the interaction Hamiltonian possess an invariance under the permutation $sto s+1$ mod $2l+1$.
arXiv Detail & Related papers (2023-03-07T11:57:11Z)
$\mathbb Z_2$ spin liquids in the higher spin-$S$ Kitaev honeycomb model: An exact deconfined $\mathbb Z_2$ gauge structure in a non-integrable model [2.0178765779788486]
We prove that the fermionic $mathbb Z$ gauge charges are always deconfined; hence the half integer spin Kitaev model would have non-trivial spin liquid ground states. The bosonic $mathbb Z$ gauge charges of the integer spin model, on the other hand, could condense, leading to a trivial product state.
arXiv Detail & Related papers (2022-11-30T19:00:17Z)
Detection of long-range entanglement in gapped quantum spin liquids by local measurements [11.475805963049808]
We show that for gapped quantum spin liquids it is possible to extract $gamma$ using two-spin local correlators. We demonstrate our method for the gapped $mathbbZ$ Kitaev spin liquid on a honeycomb lattice with anisotropic interactions.
arXiv Detail & Related papers (2022-06-15T01:49:57Z)
Exact eigenstates of multicomponent Hubbard models: SU($N$) magnetic $η$ pairing, weak ergodicity breaking, and partial integrability [8.329456268842227]
Generalized $eta$-pairing mechanism permits construction of eigenstates that feature off-diagonal long-range order and magnetic long-range order. We show that these exact eigenstates constitute integrable subsectors in which the Hubbard Hamiltonian effectively reduces to a non-interacting model.
arXiv Detail & Related papers (2022-05-15T09:42:18Z)
Fractional disclination charge and discrete shift in the Hofstadter butterfly [15.3862808585761]
We numerically compute the discrete shift $mathscrS$ for the square lattice Hofstadter model of free fermions. We show that bands with the same Chern number may have different values of $mathscrS$, although odd and even Chern number bands always have half-integer and integer values of $mathscrS$ respectively.
arXiv Detail & Related papers (2022-04-11T18:00:01Z)
Duality, Criticality, Anomaly, and Topology in Quantum Spin-1 Chains [15.795926248847026]
We argue that a model with self-duality (i.e., invariant under $U_textKT$) is natural to be at a critical or multicritical point. In particular, when $H$ is the Hamiltonian of the spin-1 antiferromagnetic Heisenberg chain, we prove that the self-dual model $H + U_textKT$ is exactly equivalent to a gapless spin-$1/2$ XY chain.
arXiv Detail & Related papers (2022-03-29T17:50:16Z)
Speeding up Learning Quantum States through Group Equivariant Convolutional Quantum Ans\"atze [13.651587339535961]
We develop a framework for convolutional quantum circuits with SU$(d)$symmetry. We prove Harrow's statement on equivalence between $nameSU(d)$ and $S_n$ irrep bases.
arXiv Detail & Related papers (2021-12-14T18:03:43Z)
Projective symmetry group classification of chiral $\mathbb{Z}_2$ spin liquids on the pyrochlore lattice: application to the spin-$1/2$ XXZ Heisenberg model [0.0]
We give a complete classification of fully symmetric as well as chiral $mathbbZ$ quantum spin liquids on the pyrochlore lattice. We find 50 independent ans"atze, including the 12 fully symmetric nearest-neighbor $mathbbZulo$ spin liquids. For each class we specify the most general symmetry-allowed mean-field Hamiltonian.
arXiv Detail & Related papers (2021-07-28T18:00:07Z)
Subsystem R\'enyi Entropy of Thermal Ensembles for SYK-like models [20.29920872216941]
The Sachdev-Ye-Kitaev model is an $N$-modes fermionic model with infinite range random interactions. We study the thermal R'enyi entropy for a subsystem of the SYK model using the path-integral formalism in the large-$N$ limit.
arXiv Detail & Related papers (2020-03-21T23:06:47Z)

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