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We analyze the quantum chaotic behavior of the Yukawa-SYK model as a function of filling and temperature, which describes random Yukawa interactions between $N$ complex fermions and $M$ bosons in zero spatial dimensions, for both the…

Strongly Correlated Electrons · Physics 2023-05-25 Andrew Davis , Yuxuan Wang

We introduce a theoretical framework to analyze the thermal properties of a recently proposed "excluded volume" model of quarkyonic matter. This entails proposing finite temperature distribution functions and entropy functionals constrained…

Nuclear Theory · Physics 2021-02-03 Srimoyee Sen , Neill C. Warrington

The heat capacity (C) of a mesoscopic nonsuperconducting fermion system treated as a canonical ensemble of independent particles is studied in a wide range of particle numbers and temperatures which vary from values close to zero up to the…

Statistical Mechanics · Physics 2008-11-14 N. K. Kuzmenko , V. M. Mikhajlov

The eigenstate thermalization hypothesis is a compelling conjecture which strives to explain the apparent thermal behavior of generic observables in closed quantum systems. Although we are far from a complete analytic understanding, quantum…

High Energy Physics - Theory · Physics 2018-02-27 Nicholas Hunter-Jones , Junyu Liu , Yehao Zhou

It is understood that in free bosonic theories, the classical field theory accurately describes the full quantum theory when the occupancy numbers of systems are very large. However, the situation is less understood in interacting theories,…

High Energy Physics - Phenomenology · Physics 2016-12-07 Mark P. Hertzberg

We consider operator growth for generic large-N gauge theories at finite temperature. Our analysis is performed in terms of Fourier modes, which do not mix with other operators as time evolves, and whose correlation functions are determined…

High Energy Physics - Theory · Physics 2020-06-24 Javier M. Magan , Joan Simon

Emulating thermal observables on a digital quantum computer is essential for quantum simulation of many-body physics. However, thermalization typically requires a large system size due to incorporating a thermal bath, whilst limited…

Quantum Physics · Physics 2025-03-12 H. Perrin , T. Scoquart , A. I. Pavlov , N. V. Gnezdilov

The impact of spatial structure on the spread of an epidemic is an important issue in the propagation of infectious diseases. Recent studies, both deterministic and stochastic, have made it possible to understand the importance of the…

Probability · Mathematics 2023-01-09 Alphonse Emakoua

We consider finite sized atomic systems with varying number of particles which have dipolar interactions among them and also under the collective driving and dissipative effect of thermal photon environment. Focusing on the simple case of…

Quantum Physics · Physics 2017-09-25 B. Çakmak , A. Manatuly , Ö. E. Müstecaplıoğlu

In this work, we investigate the quantum chaos in various $T\bar{T}$-deformed SYK models with finite $N$, including the SYK$_4$, the supersymmetric SYK$_4$, and the SYK$_2$ models. We numerically study the evolution of the spectral form…

High Energy Physics - Theory · Physics 2022-12-28 Song He , Pak Hang Chris Lau , Zhuo-Yu Xian , Long Zhao

Whether it be physical, biological or social processes, complex systems exhibit dynamics that are exceedingly difficult to understand or predict from underlying principles. Here we report a striking correspondence between the collective…

Atomic Physics · Physics 2021-05-19 T. M. Wintermantel , M. Buchhold , S. Shevate , M. Morgado , Y. Wang , G. Lochead , S. Diehl , S. Whitlock

The possible link between entanglement and thermalization, and the dynamics of hadronization are addressed by studying the real-time response of the massive Schwinger model coupled to external sources. This setup mimics the production and…

High Energy Physics - Phenomenology · Physics 2025-04-08 Adrien Florio , David Frenklakh , Kazuki Ikeda , Dmitri E. Kharzeev , Vladimir Korepin , Shuzhe Shi , Kwangmin Yu

We present a quantum simulation method that follows the dynamics of out-of-equilibrium many-body systems of electrons and oscillators in real time. Its cost is linear in the number of oscillators and it can probe timescales from attoseconds…

Mesoscale and Nanoscale Physics · Physics 2016-01-28 Valerio Rizzi , Tchavdar N. Todorov , Jorge J. Kohanoff , Alfredo A. Correa

The interplay of quantum and thermal fluctuations in the vicinity of a quantum critical point characterizes the physics of strongly correlated systems. Here we investigate this interplay from a quantum information perspective presenting the…

Strongly Correlated Electrons · Physics 2018-10-30 Marco Gabbrielli , Augusto Smerzi , Luca Pezzè

Any quantum state is fully specified by the expectation values of a complete set of Hermitian operators. For a system of Majorana fermions, such as the Sachdev-Ye-Kitaev (SYK) model, this set of observables can be taken to be all possible…

High Energy Physics - Theory · Physics 2026-02-16 Valérie Bettaque , Brian Swingle

We investigate Krylov complexity of the fermion chain operator which consists of multiple Majorana fermions in the double-scaled SYK (DSSYK) model with finite temperature. Using the fact that Krylov complexity is computable from two-point…

High Energy Physics - Theory · Physics 2024-07-19 Takanori Anegawa , Ryota Watanabe

It is shown that statistical mechanics is applicable to quantum systems with finite numbers of particles, such as complex atoms, atomic clusters, etc., where the residual two-body interaction is sufficiently strong. This interaction mixes…

Statistical Mechanics · Physics 2007-05-23 V. V. Flambaum , A. A. Gribakina , G. F. Gribakin , I. V. Ponomarev

We study the statistics of the kinetic (or equivalently potential) energy for $N$ non-interacting fermions in a $1d$ harmonic trap of frequency $\omega$, at finite temperature $T$. Remarkably, we find an exact solution for the full…

Statistical Mechanics · Physics 2018-09-27 Jacek Grela , Satya N. Majumdar , Gregory Schehr

Thermalization of chaotic quantum many-body systems under unitary time evolution is related to the growth in complexity of initially simple Heisenberg operators. Operator growth is a manifestation of information scrambling and can be…

Strongly Correlated Electrons · Physics 2019-09-19 Shenglong Xu , Brian Swingle

We analyze the error correcting properties of the Sachdev-Ye-Kitaev model, with errors that correspond to erasures of subsets of fermions. We study the limit where the number of fermions erased is large but small compared to the total…

High Energy Physics - Theory · Physics 2022-06-29 Venkatesa Chandrasekaran , Adam Levine
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