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We analyze the Hilbert space connectivity of the $L$ site PXP-model by constructing the Hamiltonian matrices via a Gray code numbering of basis states. The matrices are all formed out of a single Hamiltonian-path backbone and entries on…

Quantum Physics · Physics 2023-08-15 Bhilahari Jeevanesan

Motivated by recent observations of ergodicity breaking due to Hilbert space fragmentation in 1D Fermi-Hubbard chains with a tilted potential [Scherg et al., arXiv:2010.12965], we show that the same system also hosts quantum many-body scars…

Strongly Correlated Electrons · Physics 2021-08-16 Jean-Yves Desaules , Ana Hudomal , Christopher J. Turner , Zlatko Papić

Simulations in high-energy physics are currently emerging as an application of noisy intermediate-scale quantum (NISQ) computers. In this work, we explore the multi-flavor lattice Schwinger model - a toy model inspired by quantum…

To provide a physical example of quantum scars, we study the many-body scars in the spin-1 Kitaev chain where the so-called PXP Hamiltonian is exactly embedded in the spectra. Regarding the conserved quantities, the Hilbert space is…

Strongly Correlated Electrons · Physics 2022-02-11 Wen-Long You , Zhuan Zhao , Jie Ren , Gaoyong Sun , Liangsheng Li , Andrzej M. Oleś

Dual-unitary circuits are a class of quantum systems for which exact calculations of various quantities are possible, even for circuits that are nonintegrable. The array of known exact results paints a compelling picture of dual-unitary…

Quantum Physics · Physics 2024-01-18 Leonard Logarić , Shane Dooley , Silvia Pappalardi , John Goold

We present simulations of non-equilibrium dynamics of quantum field theories on digital quantum computers. As a representative example, we consider the Schwinger model, a 1+1 dimensional U(1) gauge theory, coupled through a Yukawa-type…

Quantum Physics · Physics 2022-09-19 Wibe A. de Jong , Kyle Lee , James Mulligan , Mateusz Płoskoń , Felix Ringer , Xiaojun Yao

Quantum many-body scar is a recently discovered phenomenon weakly violating eigenstate thermalization hypothesis, and it has been extensively studied across various models. However, experimental realizations are mainly based on constrained…

Quantum Physics · Physics 2023-07-26 Zexian Guo , Bobo Liu , Yu Gao , Ang Yang , Junlin Wang , Jinlou Ma , Lei Ying

The Schwinger model (quantum electrodynamics in 1+1 dimensions) is a testbed for the study of quantum gauge field theories. We give scalable, explicit digital quantum algorithms to simulate the lattice Schwinger model in both NISQ and…

Quantum Physics · Physics 2020-08-12 Alexander F. Shaw , Pavel Lougovski , Jesse R. Stryker , Nathan Wiebe

We introduce and study several classes of quantum spin models with multi-body interactions that exhibit quantum many-body scars. The models are constructed by two different methods: one exploiting boundary states in integrable spin chains…

Strongly Correlated Electrons · Physics 2023-10-04 Kazuyuki Sanada , Yuan Miao , Hosho Katsura

Quantum many-body scarred systems contain both thermal and non-thermal scar eigenstates in their spectra. When these systems are quenched from special initial states which share high overlap with scar eigenstates, the system undergoes…

Quantum Physics · Physics 2024-02-02 Harvey Cao , Dimitris G. Angelakis , Daniel Leykam

Periodic driving has been established as a powerful technique for engineering novel phases of matter and intrinsically out-of-equilibrium phenomena such as time crystals. Recent work by Bluvstein et al. [Science 371, 1355 (2021)] has…

We investigate the emergence of quantum scars in a general ensemble of random Hamiltonians (of which the PXP is a particular realization), that we refer to as quantum local random networks. We find a class of scars, that we call…

Statistical Mechanics · Physics 2023-06-28 Federica Maria Surace , Marcello Dalmonte , Alessandro Silva

With the aim of studying nonperturbative out-of-equilibrium dynamics of high-energy particle collisions on quantum simulators, we investigate the scattering dynamics of lattice quantum electrodynamics in 1+1 dimensions. Working in the…

Simulating real-time dynamics of gauge theories represents a paradigmatic use case to test the hardware capabilities of a quantum computer, since it can involve non-trivial input states preparation, discretized time evolution, long-distance…

Recent experiments on Rydberg atom arrays have found evidence of anomalously slow thermalization and persistent density oscillations, which have been interpreted as a many-body analog of the phenomenon of quantum scars. Periodic dynamics…

Quantum Physics · Physics 2020-06-05 Ana Hudomal , Ivana Vasić , Nicolas Regnault , Zlatko Papić

Quantum many-body scarring is a paradigm of weak ergodicity breaking arising due to the presence of special nonthermal many-body eigenstates that possess low entanglement entropy, are equally spaced in energy, and concentrate in certain…

Quantum Gases · Physics 2023-05-17 Jad C. Halimeh , Luca Barbiero , Philipp Hauke , Fabian Grusdt , Annabelle Bohrdt

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…

Statistical Mechanics · Physics 2025-02-26 Giuliano Giudici , Federica Maria Surace , Hannes Pichler

Quantum many-body scars (QMBS) are exotic many-body states that exhibit anomalous non-thermal behavior in an otherwise ergodic system. In this work, we demonstrate a simple, scalable and intuitive construction of QMBS in a kinetically…

Quantum Physics · Physics 2025-07-23 Fan Yang , Matteo Magoni , Hannes Pichler

Persistent revivals recently observed in Rydberg atom simulators have challenged our understanding of thermalization and attracted much interest to the concept of quantum many-body scars (QMBSs). QMBSs are non-thermal highly excited…

Quantum Physics · Physics 2025-05-06 Aron Kerschbaumer , Marko Ljubotina , Maksym Serbyn , Jean-Yves Desaules

We introduce a novel non-equilibrium phase -- the quantum many-body scar (QMBS) phase -- that emerges in non-Hermitian many-body dynamics when scarred wavefunctions are selectively stabilized via non-Hermitian driving. Projective…

Quantum Physics · Physics 2025-07-31 Keita Omiya , Yuya O Nakagawa