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Related papers: Void formation in operator growth, entanglement, a…

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Heisenberg time evolution under a chaotic many-body Hamiltonian $H$ transforms an initially simple operator into an increasingly complex one, as it spreads over Hilbert space. Krylov complexity, or `K-complexity', quantifies this growth…

High Energy Physics - Theory · Physics 2021-06-30 E. Rabinovici , A. Sánchez-Garrido , R. Shir , J. Sonner

Inspired on the well known dynamical dichotomy predicted in voids, where some underdense regions expand whereas others collapse due to overdense surrounding regions, we explored the interplay between the void inner dynamics and its large…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-30 A. N. Ruiz , D. J. Paz , M. Lares , H. E. Luparello , L. Ceccarelli , D. G. Lambas

In the context of chaotic quantum many-body systems, we show that operator growth, as diagnosed by out-of-time-order correlators of local operators, also leaves a sharp imprint in out-of-time-order correlators of global operators. In…

Quantum Physics · Physics 2023-07-19 Tianci Zhou , Brian Swingle

Signatures of dynamical quantum phase transitions and chaos can be found in the time evolution of generalized partition functions such as spectral form factors (SFF) and Loschmidt echoes. While a lot of work has focused on the nature of…

Strongly Correlated Electrons · Physics 2024-04-12 Anurag Sarkar , Subrata Pachhal , Adhip Agarwala , Diptarka Das

We investigate the profound relation between the equations of biological evolution and quantum mechanics by writing a biologically inspired equation for the stochastic dynamics of an ensemble of particles. Interesting behavior is observed…

Statistical Mechanics · Physics 2015-05-20 Ginestra Bianconi , Christoph Rahmede

Realizing non-unitary transformations on unitary-gate based quantum devices is critically important for simulating a variety of physical problems including open quantum systems and subnormalized quantum states. We present a dilation based…

Incoherent noise is manifest in measurements of expectation values when the underlying ensemble evolves under a classical distribution of unitary processes. While many incoherent processes appear decoherent, there are important differences.…

Achieving perfect control over the parameters defining a quantum gate is, in general, a very challenging task, and at the same time, environmental interactions can introduce disturbances to the initial states as well. Here we address the…

Quantum Physics · Physics 2025-07-31 Sudipta Mondal , Samir Kumar Hazra , Aditi Sen De

The quantum self-organization is introduced as one of the major underlying mechanisms of the quantum many-body systems, for instance, atomic nuclei. It is shown that atomic nuclei are not necessarily like simple rigid vases containing…

Nuclear Theory · Physics 2018-03-14 T. Otsuka , Y. Tsunoda , T. Togashi , N. Shimizu , T. Abe

Dynamical formation of entanglement is studied for quantum chaotic bi-particle systems. We find that statistical properties of the Schmidt eigenvalues for strong chaos are well described by the random matrix theory of the Laguerre ensemble.…

Quantum Physics · Physics 2009-11-11 Hiroto Kubotani , Mikito Toda , Satoshi Adachi

We study a model of free fermions on a chain with dynamics generated by random unitary gates acting on nearest neighbor bonds and present an exact calculation of time-ordered and out-of-time-ordered correlators. We consider three distinct…

Strongly Correlated Electrons · Physics 2021-02-22 Beatriz C. Dias , Masudul Haque , Pedro Ribeiro , Paul McClarty

Segregation patterns of size-bidisperse particle mixtures in a fully-three-dimensional flow produced by alternately rotating a spherical tumbler about two perpendicular axes are studied over a range of particle sizes and volume ratios using…

Soft Condensed Matter · Physics 2019-07-03 Mengqi Yu , Paul B. Umbanhowar , Julio M. Ottino , Richard M. Lueptow

Hallmarks of quantum mechanics include superposition and entanglement. In the context of large complex systems, these features should lead to situations like Schrodinger's cat, which exists in a superposition of alive and dead states…

We study the real-time dynamics of multi-party entanglement signals in chaotic quantum many-body systems including but not necessarily restricted to holographic conformal field theories. We find that scrambling dynamics generates multiparty…

High Energy Physics - Theory · Physics 2026-01-19 Vijay Balasubramanian , Hanzhi Jiang , Simon F. Ross

Random quantum circuit is a minimally structured model to study the entanglement dynamics of many-body quantum systems. In this paper, we considered a one-dimensional quantum circuit with noisy Haar-random unitary gates using density matrix…

Quantum Physics · Physics 2022-05-16 Qi Zhang , Guang-Ming Zhang

Interacting quantum systems evolving from an uncorrelated composite initial state generically develop quantum correlations -- entanglement. As a consequence, a local description of interacting quantum system is impossible as a rule. A…

Quantum Physics · Physics 2009-11-13 Michael Khasin , Ronnie Kosloff

Entanglement is a vital property of multipartite quantum systems, characterised by the inseparability of quantum states of objects regardless of their spatial separation. Generation of entanglement between increasingly macroscopic and…

We present a novel form of collective oscillatory behavior in the kinetics of irreversible coagulation with a constant input of monomers and removal of large clusters. For a broad class of collision rates, this system reaches a…

Statistical Mechanics · Physics 2012-05-22 Robin C. Ball , Colm Connaughton , Peter P. Jones , R. Rajesh , Oleg Zaboronski

Understanding fluctuation phenomena plays a dominant role in the development of many-body physics. The time evolution of entanglement is essential to a broad range of subjects in many-body physics, ranging from exotic quantum matter to…

Mesoscale and Nanoscale Physics · Physics 2024-03-06 Lih-King Lim , Cunzhong Lou , Chushun Tian

The many-body entanglement between two finite (size-$d$) disjoint vacuum regions of non-interacting lattice scalar field theory in one spatial dimension -- a $(d_A \times d_B)_{\rm mixed}$ Gaussian continuous variable system -- is locally…

Quantum Physics · Physics 2022-10-18 Natalie Klco , D. H. Beck , Martin J. Savage