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In the field of quantum magnetism, the exactly solvable Kitaev honeycomb model serves as a paradigm for the fractionalization of spin degrees of freedom and the formation of $\mathbb{Z}_2$ quantum spin liquids. An intense experimental…

Strongly Correlated Electrons · Physics 2019-02-07 Ciarán Hickey , Simon Trebst

The Self-Consistent Harmonic Approximation (SCHA) has been utilized to investigate quantum and thermal phase transitions within magnetic models and, more recently, in spintronic applications. The SCHA methodology involves utilizing simple…

Strongly Correlated Electrons · Physics 2026-03-25 G. C. Villela , A. R. Moura

We develop a method to transform a collection of higher-dimensional spin systems from the thermal state with a very high temperature of a local spin-s Hamiltonian to a low-lying energy eigenstate of the same. The procedure utilizes an…

Quantum Physics · Physics 2024-09-16 Debkanta Ghosh , Tanoy Kanti Konar , Aditi Sen De

We consider the quasi-two-dimensional pseudo-spin-1/2 Kitaev - Heisenberg model proposed for A2IrO3 (A=Li, Na) compounds. The spin-wave excitation spectrum, the sublattice magnetization, and the transition temperatures are calculated in the…

Strongly Correlated Electrons · Physics 2016-08-24 A. A. Vladimirov , D. Ihle , N. M. Plakida

We analyze the gapped phase of the Kitaev honeycomb model perturbatively in the isolated-dimer limit. Our analysis is based on the continuous unitary transformations method which allows one to compute the spectrum as well as matrix elements…

Other Condensed Matter · Physics 2009-01-13 J. Vidal , K. P. Schmidt , S. Dusuel

We propose and analyze a setup based on (solid-state) qubits coupled to a common multi-mode transmission line, which allows for coherent spin-spin interactions over macroscopic on-chip distances, without any ground-state cooling…

The quantum spin liquid is an enigmatic quantum state in insulating magnets, in which conventional long-range order is suppressed by strong quantum fluctuations. Recently, an unconventional phase transition was reported between the…

Strongly Correlated Electrons · Physics 2018-02-27 Petr A. Mishchenko , Yasuyuki Kato , Yukitoshi Motome

Spin models are the prime example of simplified manybody Hamiltonians used to model complex, real-world strongly correlated materials. However, despite their simplified character, their dynamics often cannot be simulated exactly on…

Finite-temperature properties of strongly correlated quantum matter are central to condensed matter, chemistry, and high-energy physics, yet are often inaccessible to classical methods such as quantum Monte Carlo (QMC). Here, we investigate…

Quantum Physics · Physics 2026-05-27 Roland C. Farrell , Yongtao Zhan , Lucas Katschke , Lode Pollet , Ilan T. Rosen , Jad C. Halimeh

We provide an exact study of dynamical correlations for the quantum spin-orbital liquid phases of an SU(2)-symmetric Kitaev honeycomb lattice model. We show that the spin dynamics in this Kugel-Khomskii type model is exactly the…

Strongly Correlated Electrons · Physics 2020-08-07 Willian M. H. Natori , Johannes Knolle

The development of methods of quantum statistical mechanics is considered in light of their applications to quantum solid-state theory. We discuss fundamental problems of the physics of magnetic materials and the methods of the quantum…

Strongly Correlated Electrons · Physics 2011-02-21 A. L. Kuzemsky

The quantum spin liquid (QSL) state has been searched intensively in Kitaev-like materials, such as the Iridium oxides $A_2$IrO$_3$ and $\alpha$-RuCl$_3$. The half-filled Kitaev-Hubbard model with bond dependent hopping terms is used to…

Strongly Correlated Electrons · Physics 2022-10-06 Shaojun Dong , Hao Zhang , Chao Wang , Meng Zhang , Yong-Jian Han , Lixin He

Strongly correlated quantum systems give rise to many exotic physical phenomena, including high-temperature superconductivity. Simulating these systems on quantum computers may avoid the prohibitively high computational cost incurred in…

Quantum Physics · Physics 2020-10-19 Frank Arute , Kunal Arya , Ryan Babbush , Dave Bacon , Joseph C. Bardin , Rami Barends , Andreas Bengtsson , Sergio Boixo , Michael Broughton , Bob B. Buckley , David A. Buell , Brian Burkett , Nicholas Bushnell , Yu Chen , Zijun Chen , Yu-An Chen , Ben Chiaro , Roberto Collins , Stephen J. Cotton , William Courtney , Sean Demura , Alan Derk , Andrew Dunsworth , Daniel Eppens , Thomas Eckl , Catherine Erickson , Edward Farhi , Austin Fowler , Brooks Foxen , Craig Gidney , Marissa Giustina , Rob Graff , Jonathan A. Gross , Steve Habegger , Matthew P. Harrigan , Alan Ho , Sabrina Hong , Trent Huang , William Huggins , Lev B. Ioffe , Sergei V. Isakov , Evan Jeffrey , Zhang Jiang , Cody Jones , Dvir Kafri , Kostyantyn Kechedzhi , Julian Kelly , Seon Kim , Paul V. Klimov , Alexander N. Korotkov , Fedor Kostritsa , David Landhuis , Pavel Laptev , Mike Lindmark , Erik Lucero , Michael Marthaler , Orion Martin , John M. Martinis , Anika Marusczyk , Sam McArdle , Jarrod R. McClean , Trevor McCourt , Matt McEwen , Anthony Megrant , Carlos Mejuto-Zaera , Xiao Mi , Masoud Mohseni , Wojciech Mruczkiewicz , Josh Mutus , Ofer Naaman , Matthew Neeley , Charles Neill , Hartmut Neven , Michael Newman , Murphy Yuezhen Niu , Thomas E. O'Brien , Eric Ostby , Bálint Pató , Andre Petukhov , Harald Putterman , Chris Quintana , Jan-Michael Reiner , Pedram Roushan , Nicholas C. Rubin , Daniel Sank , Kevin J. Satzinger , Vadim Smelyanskiy , Doug Strain , Kevin J. Sung , Peter Schmitteckert , Marco Szalay , Norm M. Tubman , Amit Vainsencher , Theodore White , Nicolas Vogt , Z. Jamie Yao , Ping Yeh , Adam Zalcman , Sebastian Zanker

In this work, we introduce a solid-state platform for building quantum simulators using implanted spin centers in solid-state materials. We build upon the proposal for an $S=1$ chain of spin centers coupled through the magnetic…

Strongly Correlated Electrons · Physics 2025-10-23 Troy Losey , Jin Zhang , S. -W. Tsai

Understanding the emergence of complex correlations in strongly interacting systems remains a fundamental challenge in quantum many-body physics. One fruitful approach is to develop solvable toy models that encapsulate universal properties…

Quantum Physics · Physics 2026-01-26 Ning Sun , Peng Zhang , Pengfei Zhang

The realization of Kitaev's honeycomb magnetic model in real materials has become one of the most pursued topics in condensed matter physics and materials science. If found, it is expected to host exotic quantum phases of matter and offers…

Strongly Correlated Electrons · Physics 2021-12-08 Chaebin Kim , Heung-Sik Kim , Je-Geun Park

The Kitaev model exhibits a Quantum Spin Liquid hosting emergent fractionalized excitations. We study the Kitaev model on the honeycomb lattice coupled to a magnetic field along the [111] axis. Utilizing large scale matrix product based…

Strongly Correlated Electrons · Physics 2018-12-06 Matthias Gohlke , Roderich Moessner , Frank Pollmann

In quantum simulation, many-body phenomena are probed in controllable quantum systems. Recently, simulation of Bose-Hubbard Hamiltonians using cold atoms revealed previously hidden local correlations. However, fermionic many-body Hubbard…

Mesoscale and Nanoscale Physics · Physics 2016-04-26 J. Salfi , J. A. Mol , R. Rahman , G. Klimeck , M. Y. Simmons , L. C. L. Hollenberg , S. Rogge

The spin-boson model, involving spins interacting with a bath of quantum harmonic oscillators, is a widely used representation of open quantum systems. Trapped ions present a natural platform for simulating the quantum dynamics of such…

The Sachdev-Ye-Kitaev model is an $N$-modes fermionic model with infinite range random interactions. In this work, we study the thermal R\'enyi entropy for a subsystem of the SYK model using the path-integral formalism in the large-$N$…

Strongly Correlated Electrons · Physics 2020-07-01 Pengfei Zhang , Chunxiao Liu , Xiao Chen
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