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We report on a systematic study of two dimensional, periodic, frustrated Ising models with a quantum dynamics introduced via a transverse magnetic field. The systems studied are the triangular and kagome lattice antiferromagnets, fully…

Statistical Mechanics · Physics 2009-10-31 R. Moessner , S. L. Sondhi

Quantum spin liquids (QSLs) represent an exotic quantum many-body state characterized by the suppression of long-range magnetic order due to strong quantum fluctuations. The kagome spin-1/2 antiferromagnet (AFM) is a prime candidate for…

Strongly Correlated Electrons · Physics 2024-07-24 S. Suetsugu , T. Asaba , S. Ikemori , Y. Sekino , Y. Kasahara , K. Totsuka , B. Li , Y. Zhao , Y. Li , Y. Kohama , Y. Matsuda

The magnetic and entanglement thermal (equilibrium) properties in spin-1/2 Ising-Heisenberg model on a triangulated Kagome lattice are analyzed by means of variational mean-field like treatment based on Gibbs-Bogoliubov inequality. Because…

Quantum Physics · Physics 2010-12-30 N. S. Ananikian , L. N. Ananikyan , L. A. Chakhmakhchyan , A. N. Kocharian

We present a holographic quantum simulation algorithm to variationally prepare thermal states of $d$-dimensional interacting quantum many-body systems, using only enough hardware qubits to represent a ($d$-1)-dimensional cross-section. This…

Quantum Physics · Physics 2022-10-17 Yuxuan Zhang , Shahin Jahanbani , Daoheng Niu , Reza Haghshenas , Andrew C. Potter

Solving finite-temperature properties of quantum many-body systems is generally challenging to classical computers due to their high computational complexities. In this article, we present experiments to demonstrate a hybrid…

Developing scalable quantum algorithms to study finite-temperature physics of quantum many-body systems has attracted considerable interest due to recent advancements in quantum hardware. However, such algorithms in their present form…

Scalable quantum algorithms for the simulation of quantum many-body systems in thermal equilibrium are important for predicting properties of quantum matter at finite temperatures. Here we describe and benchmark a quantum computing version…

Quantum Physics · Physics 2023-09-20 João C. Getelina , Niladri Gomes , Thomas Iadecola , Peter P. Orth , Yong-Xin Yao

We investigate the thermodynamic properties of the frustrated bilayer quantum Heisenberg antiferromagnet at low temperatures in the vicinity of the saturation magnetic field. The low-energy degrees of freedom of the spin model are mapped…

Strongly Correlated Electrons · Physics 2007-05-23 Johannes Richter , Oleg Derzhko , Taras Krokhmalskii

We have formulated a twist operator argument for the geometrically frustrated quantum spin systems on the kagome and triangular lattices, thereby extending the application of the Lieb-Schultz-Mattis (LSM) and Oshikawa-Yamanaka-Affleck (OYA)…

Strongly Correlated Electrons · Physics 2020-01-28 Santanu Pal , Anirban Mukherjee , Siddhartha Lal

Here we consider the Ising-Heisenberg model in the expanded Kagom\'e lattice, also known as triangle-dodecagon (3-12) or star lattice. This model can still be understood as a decorated honeycomb lattice. Assuming that the Heisenberg spins…

Statistical Mechanics · Physics 2018-11-01 Onofre Rojas

This thesis describes several topics related to finite temperature studies of strongly correlated systems: finite temperature density matrix embedding theory (FT-DMET), finite temperature metal-insulator transition, and quantum algorithms…

Strongly Correlated Electrons · Physics 2023-03-01 Chong Sun

We consider the $S=1/2$ antiferromagnetic Heisenberg model on a frustrated kagome-lattice bilayer with strong nearest-neighbor interlayer coupling and examine its low-temperature magnetothermodynamics using a mapping onto a rhombi gas on…

Strongly Correlated Electrons · Physics 2025-07-03 Dmytro Yaremchuk , Taras Hutak , Vasyl Baliha , Taras Krokhmalskii , Oleg Derzhko , Jürgen Schnack , Johannes Richter

We consider the interaction-round-a-face version of the six-vertex model for arbitrary anisotropy parameter, which allow us to derive an integrable one-dimensional quantum Hamiltonian with three-spin interactions. We apply the quantum…

Mathematical Physics · Physics 2023-09-07 T. S. Tavares , G. A. P. Ribeiro

Preparing algebraically correlated ground states of quantum many-body systems is an important, yet challenging task for quantum simulation. We introduce a protocol that employs local projective measurements and unitary feedback for…

Quantum Physics · Physics 2026-03-12 Johannes Feldmeier , Yu-Jie Liu , Mikhail D. Lukin , Soonwon Choi

Preparation of low-energy quantum many-body states has a wide range of applications in quantum information processing and condensed matter physics. Quantum cooling algorithms offer a promising alternative to other methods based, for…

Quantum Physics · Physics 2025-08-22 Daniel Molpeceres , Sirui Lu , J. Ignacio Cirac , Barbara Kraus

We demonstrate a dissipative protocol for ground-state preparation of a quantum spin chain on a trapped-ion quantum computer. As a first step, we derive a Kraus representation of a dissipation channel for the protocol recently proposed by…

Quantum Physics · Physics 2026-01-14 Kazuhiro Seki , Yuta Kikuchi , Tomoya Hayata , Seiji Yunoki

We present a cooling algorithm for ground state preparation of fermionic Hamiltonians. Our algorithm makes use of the Hamiltonian simulation of the considered system coupled to an ancillary fridge, which is regularly reset to its known…

Quantum Physics · Physics 2025-02-19 Lucas Marti , Refik Mansuroglu , Michael J. Hartmann

We study the low-temperature thermodynamic properties of a number of frustrated quantum antiferromagnets which support localized magnon states in the vicinity of the saturation field. For this purpose we use 1) a mapping of the low-energy…

Strongly Correlated Electrons · Physics 2007-05-23 Oleg Derzhko , Johannes Richter

In the last decade, quantum simulators, and in particular cold atoms in optical lattices, have emerged as a valuable tool to study strongly correlated quantum matter. These experiments are now reaching regimes that are numerically difficult…

Quantum Gases · Physics 2022-01-05 Annabelle Bohrdt , Lukas Homeier , Christian Reinmoser , Eugene Demler , Fabian Grusdt

The geometric frustration of the spin-1/2 Ising-Heisenberg model on the triangulated Kagome (triangles-in-triangles) lattice is investigated within the framework of an exact analytical method based on the generalized star-triangle mapping…

Statistical Mechanics · Physics 2009-11-13 Jozef Strecka , Lucia Canova , Michal Jascur , Masayuki Hagiwara