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We consider a system of two spins that are coupled via an isotropic Heisenberg Hamiltonian. For the first time, a two-step method for the preparation of an arbitrary quantum state of two qubits in the form of the Schmidt decomposition is…

Quantum Physics · Physics 2015-06-19 A. R. Kuzmak , V. M. Tkachuk

Despite the apparent ubiquity and variety of quantum spin liquids in theory, experimental confirmation of spin liquids remains to be a huge challenge. Motivated by the recent surge of evidences for spin liquids in a series of candidate…

Strongly Correlated Electrons · Physics 2020-11-06 Yong Hao Gao , Gang Chen

Rydberg atom arrays have recently been conjectured to host $Z_2$ quantum spin liquids (QSLs) in certain parameter regimes. Due to the strong interactions between these atoms, it is not possible to analytically study these systems, and one…

Strongly Correlated Electrons · Physics 2025-03-18 Pranay Patil , Owen Benton

We propose a scheme to simulate lattice spin models based on strong and long-range interacting Rydberg atoms stored in a large-spacing array of magnetic microtraps. Each spin is encoded in a collective spin state involving a single $nP$…

Atomic Physics · Physics 2017-04-05 Shannon Whitlock , Alexander W. Glaetzle , Peter Hannaford

Quantum spin liquids, a highly topologically entangled, dynamically correlated state where quantum fluctuations preclude any long-range ordering down to absolute zero. In the search for a topologically robust qubit, the scientific community…

Strongly Correlated Electrons · Physics 2026-02-11 Vivek Kumar , Pradeep Kumar

We construct a family of short-range resonating-valence-bond wave functions on a layered cubic lattice, allowing for a tunable anisotropy in the amplitudes assigned to nearest-neighbour valence bonds along one axis. Monte Carlo simulations…

Strongly Correlated Electrons · Physics 2013-11-04 Jin Xu , K. S. D. Beach

We propose a scheme for constructing versatile quantum simulators using ultracold Rydberg atoms in long-lived circular and elliptical states. By exciting different subspaces of internal atomic states, the atoms can be used to simulate two…

Quantum Physics · Physics 2025-03-31 Jacek Dobrzyniecki , Paula Heim , Michał Tomza

We study quantum disordered ground states of the two dimensional Heisenberg-Kitaev model on the triangular lattice using a Schwinger boson approach. Our aim is to identify and characterize potential gapped quantum spin liquid phases that…

Strongly Correlated Electrons · Physics 2017-01-25 Pavel Kos , Matthias Punk

We perform highly accurate density matrix renormalization group (DMRG) simulations to investigate the ground state properties of the spin-1/2 antiferromagnetic square lattice Heisenberg $J_1$-$J_2$ model. Based on studies of numerous long…

Strongly Correlated Electrons · Physics 2012-07-20 Hong-Chen Jiang , Hong Yao , Leon Balents

The existence of a quantum spin liquid (QSL) in which quantum fluctuations of spins are sufficiently strong to preclude spin ordering down to zero temperature was originally proposed theoretically more than 40 years ago, but its…

We analyze a method for preparing low-entropy many-body states in isolated quantum optical systems of atoms, ions and molecules. Our approach is based upon shifting entropy between different regions of a system by spatially modulating the…

Quantum Gases · Physics 2021-03-12 Michael P. Zaletel , Adam M. Kaufman , Dan M. Stamper-Kurn , Norman Y. Yao

We study the dynamics of lattice models of quantum spins one-half, driven by a coherent drive and subject to dissipation. Generically the meanfield limit of these models manifests multistable parameter regions of coexisting steady states…

Quantum Physics · Physics 2020-02-06 Haggai Landa , Marco Schiró , Grégoire Misguich

Arrays of Rydberg atoms constitute a highly tunable, strongly interacting venue for the pursuit of exotic states of matter. We develop a new strategy for accessing a family of fractionalized phases known as quantum spin liquids in…

Strongly Correlated Electrons · Physics 2022-10-05 Kevin Slagle , Yue Liu , David Aasen , Hannes Pichler , Roger S. K. Mong , Xie Chen , Manuel Endres , Jason Alicea

We describe methods to construct digital quantum simulation algorithms for quantum spin systems on a regular lattice with local interactions. In addition to tools such as the Trotter-Suzuki expansion and graph coloring, we also discuss the…

Quantum Physics · Physics 2025-03-12 Guido Burkard

A controlled quantum system can alter its environment by feedback, leading to reduced-entropy states of the environment and to improved system coherence. Here, using a quantum dot electron spin as control and probe, we prepare the quantum…

Quantum Physics · Physics 2017-10-04 G. Éthier-Majcher , D. Gangloff , R. Stockill , E. Clarke , M. Hugues , C. Le Gall , M. Atatüre

Preparation of a target quantum many-body state on quantum simulators is one of the significant steps in quantum science and technology. With a small number of qubits, a few quantum states, such as the Greenberger-Horne-Zeilinger state,…

Quantum Physics · Physics 2023-07-28 Donggyu Kim , Eun-Gook Moon

The accurate computational determination of chemical, materials, biological, and atmospheric properties has critical impact on a wide range of health and environmental problems, but is deeply limited by the computational scaling of…

Chemical Physics · Physics 2021-06-09 Debadrita Saha , Srinivasan S. Iyengar , Philip Richerme , Jeremy M. Smith , Amr Sabry

Quantum spin liquids provide paradigmatic examples of highly entangled quantum states of matter. Frustration is the key mechanism to favor spin liquids over more conventional magnetically ordered states. Here we propose to engineer…

Strongly Correlated Electrons · Physics 2021-11-29 Alessio Chiocchetta , Dominik Kiese , Carl Philipp Zelle , Francesco Piazza , Sebastian Diehl

The Rydberg blockade mechanism is an important ingredient in quantum simulators based on neutral atom arrays. It enables the emergence of a rich variety of quantum phases of matter, such as topological spin liquids. The typically isotropic…

Quantum Physics · Physics 2025-01-15 Zhongda Zeng , Giuliano Giudici , Hannes Pichler

Laser-cooled and trapped atomic ions form an ideal standard for the simulation of interacting quantum spin models. Effective spins are represented by appropriate internal energy levels within each ion, and the spins can be measured with…