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Frustrated quantum magnets may exhibit fascinating collective phenomena. The main goal of this dissertation is to provide conclusive evidence for the emergence of novel phases of matter like quantum spin liquids in local quantum spin…

Strongly Correlated Electrons · Physics 2022-10-10 Alexander Wietek

Quantum spin liquid has massive many spin entanglement in the ground state, we can evaluate it by the entanglement entropy, but the latter can not be observed directly by experiment. In this manuscript, we try to characterize its…

Quantum Physics · Physics 2024-05-28 Zheng-Chuan Wang

We present a systematic framework to classify symmetry-enriched topological quantum spin liquids in two spatial dimensions. This framework can deal with all topological quantum spin liquids, which may be either Abelian or non-Abelian,…

Strongly Correlated Electrons · Physics 2024-09-30 Weicheng Ye , Liujun Zou

Quantum fluctuations originating phase competition or geometrical frustration of spins lead to novel states such as a quantum critical point and a quantum spin liquid where the strong quantum fluctuations suppress any ordered states even at…

Strongly Correlated Electrons · Physics 2019-11-28 Y. Saito , H. Nakamura , M. Sawada , T. Yamazaki , S. Fukuoka , N. Matsunaga , K. Nomura , M. Dressel , A. Kawamoto

The variational quantum eigensolver is one of the most promising approaches for performing chemistry simulations using noisy intermediate-scale quantum (NISQ) processors. The efficiency of this algorithm depends crucially on the ability to…

Quantum spin liquids attract great interest due to their exceptional magnetic properties characterized by the absence of long-range order down to low temperatures despite the strong magnetic interaction. Commonly, these compounds are…

Strongly Correlated Electrons · Physics 2018-05-01 Martin Dressel , Andrej Pustogow

Neutral-atom quantum simulators offer a promising approach to the exploration of strongly interacting many-body systems, with applications spanning condensed matter, statistical mechanics, and high-energy physics. Through a combination of…

Inspired by natural cooling processes, dissipation has become a promising approach for preparing low-energy states of quantum systems. However, the potential of dissipative protocols remains unclear beyond certain commuting Hamiltonians.…

Quantum Physics · Physics 2026-02-27 Yongtao Zhan , Zhiyan Ding , Jakob Huhn , Johnnie Gray , John Preskill , Garnet Kin-Lic Chan , Lin Lin

Competition between short- and long-range interactions underpins many emergent phenomena in nature. Despite rapid progress in their experimental control, computational methods capable of accurately simulating open quantum many-body systems…

Quantum Physics · Physics 2026-02-11 Dawid A. Hryniuk , Marzena H. Szymańska

Geometrical frustration among interacting spins combined with strong quantum fluctuations destabilize long-range magnetic order in favour of more exotic states such as spin liquids. By following this guiding principle, a number of spin…

Topological orders are a class of exotic states of matter characterized by patterns of long-range entanglement. Certain topologically ordered systems are proposed as potential realization of fault-tolerant quantum computation. Topological…

Quantum Physics · Physics 2019-05-08 Zhihuang Luo , Jun Li , Zhaokai Li , Ling-Yan Hung , Yidun Wan , Xinhua Peng , Jiangfeng Du

Ordered phases of matter have close connections to computation. Two prominent examples are spin glass order, with wide-ranging applications in machine learning and optimization, and topological order, closely related to quantum error…

Quantum Physics · Physics 2024-12-19 Benedikt Placke , Tibor Rakovszky , Nikolas P. Breuckmann , Vedika Khemani

We propose an efficient scheme for generating spin-squeezed states at steady state in a spin-mechanical hybrid system, where an ensemble of SiV centers are coupled to a strongly damped nanomechanical resonator. We show that,there exists a…

Quantum Physics · Physics 2021-10-07 Jia-Qiang Chen , Yi-Fan Qiao , Xing-Liang Dong , Xin-Lei Hei , Peng-Bo Li

Topological materials exhibit protected edge modes that have been proposed for applications in for example spintronics and quantum computation. While a number of such systems exist, it would be desirable to be able to test theoretical…

Mesoscale and Nanoscale Physics · Physics 2018-10-15 Robert Drost , Teemu Ojanen , Ari Harju , Peter Liljeroth

We address the real-time dynamics of lattice quantum spin models coupled to single or multiple Markovian dissipative reservoirs using the method of closed hierarchies of correlation functions. This approach allows us to solve a number of…

Quantum Physics · Physics 2017-08-09 D. Mesterházy , F. Hebenstreit

Arrays of atoms trapped in optical tweezers combine features of programmable analog quantum simulators with atomic quantum sensors. Here we propose variational quantum algorithms, tailored for tweezer arrays as programmable quantum sensors,…

Continuous control over lattice geometry, when combined with long-range interactions, offers a powerful yet underexplored tool to generate highly frustrated quantum spin systems. By considering long-range dipolar antiferromagnetic…

Quantum Gases · Physics 2026-04-16 Francisco Machado , Sabrina Chern , Michael P. Zaletel , Norman Y. Yao

Employing large-scale quantum Monte Carlo simulations, we study the extended $XXZ$ model on the kagome lattice. A $\mathbb Z_2$ quantum spin liquid phase with effective even Ising gauge field structure emerges from the delicate balance…

Strongly Correlated Electrons · Physics 2018-08-06 Yan-Cheng Wang , Xue-Feng Zhang , Frank Pollmann , Meng Cheng , Zi Yang Meng

In condensed matter physics, there is a novel phase termed "quantum spin liquid", in which strong quantum fluctuations prevent the long-range magnetic order from being established, and so the electron spins do not form an ordered pattern…

Strongly Correlated Electrons · Physics 2019-04-10 Jinsheng Wen , Shun-Li Yu , Shiyan Li , Weiqiang Yu , Jian-Xin Li

The quantum computer offers significant advantages in simulating physical systems, particularly those with exponentially large state spaces, such as quantum systems. Stochastic reaction-diffusion systems, characterized by their stochastic…

Quantum Physics · Physics 2024-06-18 Louie Hong Yao