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We provide a systematic approach for constructing approximate quantum many-body scars (QMBS) starting from two-layer Floquet automaton circuits that exhibit trivial many-body revivals. We do so by applying successively more restrictions…

量子物理 · 物理学 2022-12-07 Pierre-Gabriel Rozon , Michael J. Gullans , Kartiek Agarwal

Quantum dynamics in certain kinetically-constrained systems can display a strong sensitivity to the initial condition, wherein some initial states give rise to persistent quantum revivals -- a type of weak ergodicity breaking known as…

Quantum scars are special eigenstates of many-body systems that evade thermalization. They were first discovered in the PXP model, a well-known effective description of Rydberg atom arrays. Despite significant theoretical efforts, the…

统计力学 · 物理学 2025-02-26 Giuliano Giudici , Federica Maria Surace , Hannes Pichler

We demonstrate how to simulate both discrete and continuous stochastic evolution of a quantum many body system subject to measurements using matrix product states. A particular, but generally applicable, measurement model is analyzed and a…

量子物理 · 物理学 2010-02-01 Søren Gammelmark , Klaus Mølmer

Solving quantum many-body systems is one of the most significant regimes where quantum computing applies. Currently, as a hardware-friendly computational paradigms, variational algorithms are often used for finding the ground energy of…

量子物理 · 物理学 2026-02-10 Yong Liu , Guangyao Huang , Yizhi Wang , Junjie Wu

The concept of quantum many-body scars has recently been put forward as a route to describe weak ergodicity breaking and violation of the Eigenstate Thermalization Hypothesis. We propose a simple setup to generate quantum many-body scars in…

量子气体 · 物理学 2020-04-29 Hongzheng Zhao , Joseph Vovrosh , Florian Mintert , Johannes Knolle

The control of many-body quantum dynamics in complex systems is a key challenge in the quest to reliably produce and manipulate large-scale quantum entangled states. Recently, quench experiments in Rydberg atom arrays (Bluvstein et. al.,…

We introduce quantum fluctuations into the simulated annealing process of optimization problems, aiming at faster convergence to the optimal state. The idea is tested by the two models, the transverse Ising model and the traveling salesman…

量子物理 · 物理学 2007-05-23 Tadashi Kadowaki

We identify quantum many-body scars in the transverse field quantum Ising model on a ladder. We make explicit how the corresponding (mid spectrum, low entanglement) many-body eigenstates can be approximated by injecting quasi-particle…

强关联电子 · 物理学 2020-07-01 Bart van Voorden , Jiří Minář , Kareljan Schoutens

We develop an analytical approach for the description of quantum many-body scars in PXP models. We show that the scarred dynamics in the PXP model on a complete bipartite graph can be interpreted as a one-dimensional chiral scattering…

量子物理 · 物理学 2022-03-14 Bennet Windt , Hannes Pichler

In stochastic modeling, there has been a significant effort towards finding predictive models that predict a stochastic process' future using minimal information from its past. Meanwhile, in condensed matter physics, matrix product states…

量子物理 · 物理学 2019-02-05 Chengran Yang , Felix C. Binder , Varun Narasimhachar , Mile Gu

Quantum scars are non-thermal eigenstates characterized by low entanglement entropy, initially detected in systems subject to nearest-neighbor Rydberg blockade, the so called PXP model. While most of these special eigenstates elude an…

Quantum many-body control is among most challenging problems in quantum science, due to computational complexity of related underlying problems. We propose an efficient approach for solving a class of control problems for many-body quantum…

量子物理 · 物理学 2024-02-21 I. A. Luchnikov , M. A. Gavreev , A. K. Fedorov

Quantum many-body scars are an intriguing dynamical regime in which quantum systems exhibit coherent dynamics and long-range correlations when prepared in certain initial states. We use this combination of coherence and many-body…

量子物理 · 物理学 2023-11-03 I-Chi Chen , Benjamin Burdick , Yongxin Yao , Peter P. Orth , Thomas Iadecola

The phenomenon of quantum many-body scars has received widespread attention both in theoretical and experimental physics in recent years due to its unique physical properties. In this paper, based on the $su(2)$ algebraic relations, we…

量子物理 · 物理学 2024-03-11 Jia-Wei Wang , Xiang-Fa Zhou , Guang-Can Guo , Zheng-Wei Zhou

In recent quantum algorithmic developments, a feedback-based approach has shown promise for preparing quantum many-body system ground states and solving combinatorial optimization problems. This method utilizes quantum Lyapunov control to…

The advancement of quantum simulators motivates the development of a theoretical framework to assist with efficient state preparation in quantum many-body systems. Generally, preparing a target entangled state via unitary evolution with…

量子物理 · 物理学 2024-11-06 Marko Ljubotina , Elena Petrova , Norbert Schuch , Maksym Serbyn

High-fidelity quantum operations require the system dynamics to be strictly confined to the computational subspace. In practice, however, control fields inevitably couple to leakage levels, giving rise to quantum state leakage that…

量子物理 · 物理学 2026-04-07 Ting Lin , Zi-Hao Qin , Zheng-Yuan Xue , Tao Chen

Unstable periodic orbits act as organizing structures for classical chaotic systems and underpin quantum scarring. Long known in single-particle systems, genuine quantum scars based on unstable periodic orbits have been recently extended to…

统计力学 · 物理学 2026-04-16 Harald Schmid , Andrea Pizzi , Johannes Knolle

Towards the efficient simulation of near-term quantum devices using tensor network states, we introduce an improved real-space parallelizable matrix-product state (MPS) compression method. This method enables efficient compression of all…

量子物理 · 物理学 2024-09-02 Rong-Yang Sun , Tomonori Shirakawa , Seiji Yunoki
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