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We theoretically analyze recent experiments [G. Semeghini et al., Science 374, 1242 (2021)] demonstrating the onset of a topological spin liquid using a programmable quantum simulator based on Rydberg atom arrays. In the experiment, robust…

Quantum Physics · Physics 2022-09-15 Giuliano Giudici , Mikhail D. Lukin , Hannes Pichler

Rydberg atom arrays are powerful platforms for studying quantum many-body systems. We consider the Rydberg-Ising Hamiltonian on periodic chains and numerically study ensembles of states generated by random global pulse sequences subject to…

Quantum Physics · Physics 2026-04-21 Edison S. Carrera , Grégoire Misguich

Topological quantum many-body systems, such as Hall insulators, are characterized by a hidden order encoded in the entanglement between their constituents. Entanglement entropy, an experimentally accessible single number that globally…

Projected entangled pair states (PEPS) on finite two-dimensional lattices are a natural ansatz for representing ground states of local many-body Hamiltonians, as they inherently satisfy the boundary law of entanglement entropy. In this…

Strongly Correlated Electrons · Physics 2025-05-14 Daniel Alcalde Puente , Erik Lennart Weerda , Konrad Schröder , Matteo Rizzi

We introduce a novel, model-independent method for the efficient simulation of low-entropy systems, whose dynamics can be accurately described with a limited number of states. Our method leverages the time-dependent variational principle to…

Quantum Physics · Physics 2024-12-02 Luca Gravina , Vincenzo Savona

We introduce a method to simulate open quantum many-body dynamics by combining time-dependent variational Monte Carlo (tVMC) with quantum trajectory techniques. Our approach unravels the Lindblad master equation into an ensemble of…

Simulating physical systems with variational quantum algorithms is a well-studied approach, but it is challenging to implement in current devices due to demands in qubit number and circuit depth. We show how limited knowledge of the system,…

The classification of electron systems according to their topology has been at the forefront of condensed matter research in recent years. It has been found that systems of the same symmetry, previously thought of as equivalent, may in fact…

Strongly Correlated Electrons · Physics 2015-01-09 Jan Borchmann , Aaron Farrell , Shunji Matsuura , T. Pereg-Barnea

We elucidate the topological features of the entanglement entropy of a region in two dimensional quantum systems in a topological phase with a finite correlation length $\xi$. Firstly, we suggest that simpler reduced quantities, related to…

Strongly Correlated Electrons · Physics 2009-11-13 Stefanos Papanikolaou , Kumar S. Raman , Eduardo Fradkin

We investigate the approach of time-dependent variational principle (TDVP) for the one-dimensional spin-$J$ PXP model with detuning, which is relevant for programmable Rydberg atom arrays. The variational manifold is chosen as the minimally…

Quantum Physics · Physics 2025-01-17 Zhigang Hu , Biao Wu

A characterization of topological order in terms of bi-partite entanglement was proposed recently [A. Kitaev and J. Preskill, Phys. Rev. Lett. 96, 110404 (2006); M. Levin and X.-G. Wen, ibid, 110405]. It was argued that in a topological…

Strongly Correlated Electrons · Physics 2011-11-09 Shunsuke Furukawa , Gregoire Misguich

We demonstrate an optimal quantum control strategy for the deterministic preparation of entangled harmonic oscillator states in trapped ions. The protocol employs dynamical phase modulation of laser-driven Jaynes-Cummings and…

Random packings of stiff rods are self-supporting mechanical structures stabilized by long range interactions induced by contacts. To understand the geometrical and topological complexity of the packings, we first deploy X-ray computerized…

Soft Condensed Matter · Physics 2024-09-24 Yeonsu Jung , Thomas Plumb-Reyes , Hao-Yu Greg Lin , L. Mahadevan

Topological order in a 2d quantum matter can be determined by the topological contribution to the entanglement R\'enyi entropies. However, when close to a quantum phase transition, its calculation becomes cumbersome. Here we show how…

Strongly Correlated Electrons · Physics 2014-12-24 Roman Orus , Tzu-Chieh Wei , Oliver Buerschaper , Artur Garcia-Saez

Topologically ordered quantum matter exhibits intriguing long-range patterns of entanglement, which reveal themselves in subsystem entropies. However, measuring such entropies, which can be used to certify topological order, on large…

Quantum Physics · Physics 2024-08-26 Robert Ott , Torsten V. Zache , Nishad Maskara , Mikhail D. Lukin , Peter Zoller , Hannes Pichler

We present universal characteristics of quantum entanglement and topology through virtual entanglement modes that fluctuate into existence in subsystem measurements. For generic interacting systems and extensive conserved quantities, these…

Quantum Physics · Physics 2022-06-15 Kim Pöyhönen , Ali G. Moghaddam , Teemu Ojanen

In recent years, the performance of different entanglement indicators obtained directly from tomograms has been assessed in continuous-variable and hybrid quantum systems. In this paper, we carry out this task in the case of spin systems.…

Quantum Physics · Physics 2022-05-04 B. Sharmila , V. R. Krithika , Soham Pal , T. S. Mahesh , S. Lakshmibala , V. Balakrishnan

Quantum spin liquids are elusive long-range entangled states. Motivated by experiments in Rydberg quantum simulators, recent excitement has centered on the possibility of dynamically preparing a state with quantum spin liquid correlation…

Quantum Physics · Physics 2025-12-11 DinhDuy Vu , Dominik S. Kufel , Jack Kemp , Lode Pollet , Chris R. Laumann , Norman Y. Yao

Preparation of entangled steady states via dissipation and pumping in Rydberg atoms has been recently found to be useful for quantum information processing. The driven-dissipative dynamics is closely related to the natural linewidth of the…

Quantum Physics · Physics 2019-05-01 Zong-Xing Ding , Chang-Sheng Hu , Li-Tuo Shen , Zhen-Biao Yang , Huaizhi Wu , Shi-Biao Zheng

Topological properties of quantum systems are one of the most intriguing emerging phenomena in condensed matter physics. A crucial property of topological systems is the symmetry-protected robustness towards local noise. Experiments have…

Quantum Physics · Physics 2022-12-05 Guliuxin Jin , Eliska Greplova
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