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We provide a pedagogical introduction to eigenstate thermalization. This phenomenon, which occurs in generic quantum systems, allows one to understand why thermalization takes place in isolated systems under unitary dynamics. We motivate…

Quantum Physics · Physics 2026-04-29 Rohit Patil , Marcos Rigol

For the typical quantum many-body systems that obey the eigenstate thermalization hypothesis (ETH), we argue that the entanglement entropy of (almost) all energy eigenstates is described by a single crossover function. The ETH implies that…

Statistical Mechanics · Physics 2021-07-26 Qiang Miao , Thomas Barthel

The relaxation behaviour of isolated quantum systems taken out of equilibrium is among the most intriguing questions in many-body physics. Quantum systems out of equilibrium typically relax to thermal equilibrium states by scrambling local…

Inspired by the method that can deterministically generated the massive entanglement through phase transitions, we study the ground state properties of a spin-1 condensate mixture, under the premise that the heteronuclear spin-exchange…

Quantum Physics · Physics 2023-06-09 Jie Zhang Longsheng Yu , Zezhen He , Pengjun Wang

We study eigenstate thermalization and related signatures of quantum chaos in the one-dimensional ferromagnetic transverse-field Ising model with power-law interactions. The presence of long-range interactions allows for a…

Statistical Mechanics · Physics 2017-06-13 Keith R. Fratus , Mark Srednicki

The transition of atomic, electronic, or e-h systems to quantum phases is an extraordinary process when both microscopic and macroscopic properties of the system undergo fundamental changes. Bose-Einstein condensation, has been observed in…

Strongly Correlated Electrons · Physics 2012-09-27 Peter P. Vasilev , Ian H. White

Many-body localised phases of disordered, interacting quantum systems allow for exotic localisation protected quantum order in eigenstates at arbitrarily high energy densities. In this work, we analyse the manifestation of such order on the…

Disordered Systems and Neural Networks · Physics 2023-07-14 Sthitadhi Roy

Recent experiments have revealed the formation of stable droplets in dipolar Bose-Einstein condensates. This surprising result has been explained by the stabilization given by quantum fluctuations. We study in detail the properties of a BEC…

Quantum Gases · Physics 2016-10-19 F. Wächtler , L. Santos

The form of the eigenstates of an atom coupled to a cavity mode displaying a three dimensional periodic profile are obtained. It is shown that the quantized motion leads to degenerate states where the atomic degrees of freedom are masked,…

Quantum Physics · Physics 2020-02-19 R. Gutiérrez-Jáuregui

We study the structure of the eigenstates and the dynamics of a system that undergoes an excited state quantum phase transition (ESQPT). The analysis is performed for two-level pairing models characterized by a U(n+1) algebraic structure.…

Statistical Mechanics · Physics 2015-12-02 Lea F. Santos , Francisco Pérez-Bernal

Quantum superpositions of macroscopically distinguishable states having distinct phases can be created with a Bose-Einstein condensate trapped in a periodic potential. The experimental signature is contained in the phase distribution of the…

Other Condensed Matter · Physics 2008-11-06 F. Piazza , L. Pezze' , A. Smerzi

Disorder in quantum many-body systems can drive transitions between ergodic and non-ergodic phases, yet the nature--and even the existence--of these transitions remains intensely debated. Using a two-dimensional array of superconducting…

Quantum Physics · Physics 2026-04-17 Aleksey Lunkin , Nicole S. Ticea , Shashwat Kumar , Connie Miao , Jaehong Choi , Mohammed Alghadeer , Ilya Drozdov , Dmitry Abanin , Amira Abbas , Rajeev Acharya , Laleh Beni , Georg Aigeldinger , Ross Alcaraz , Sayra Alcaraz , Markus Ansmann , Frank Arute , Kunal Arya , Walt Askew , Nikita Astrakhantsev , Juan Atalaya , Ryan Babbush , Brian Ballard , Joseph C. Bardin , Hector Bates , Andreas Bengtsson , Majid Karimi , Alexander Bilmes , Simon Bilodeau , Felix Borjans , Alexandre Bourassa , Jenna Bovaird , Dylan Bowers , Leon Brill , Peter Brooks , Michael Broughton , David A. Browne , Brett Buchea , Bob B. Buckley , Tim Burger , Brian Burkett , Nicholas Bushnell , Jamal Busnaina , Anthony Cabrera , Juan Campero , Hung-Shen Chang , Silas Chen , Zijun Chen , Ben Chiaro , Liang-Ying Chih , Agnetta Y. Cleland , Bryan Cochrane , Matt Cockrell , Josh Cogan , Paul Conner , Harold Cook , Rodrigo G. Cortiñas , William Courtney , Alexander L. Crook , Ben Curtin , Martin Damyanov , Sayan Das , Dripto M. Debroy , Sean Demura , Paul Donohoe , Andrew Dunsworth , Valerie Ehimhen , Alec Eickbusch , Aviv Moshe Elbag , Lior Ella , Mahmoud Elzouka , David Enriquez , Catherine Erickson , Lara Faoro , Vinicius S. Ferreira , Marcos Flores , Leslie Burgos , Sam Fontes , Ebrahim Forati , Jeremiah Ford , Brooks Foxen , Masaya Fukami , Alan Wing Fung , Lenny Fuste , Suhas Ganjam , Gonzalo Garcia , Christopher Garrick , Robert Gasca , Helge Gehring , Robert Geiger , William Giang , Dar Gilboa , James E. Goeders , Edward C. Gonzales , Raja Gosula , Stijn J. Graaf , Alejandro Dau , Dietrich Graumann , Joel Grebel , Alex Greene , Jonathan A. Gross , Jose Guerrero , Loïck Guevel , Tan Ha , Steve Habegger , Tanner Hadick , Ali Hadjikhani , Michael C. Hamilton , Monica Hansen , Matthew P. Harrigan , Sean D. Harrington , Jeanne Hartshorn , Stephen Heslin , Paula Heu , Oscar Higgott , Reno Hiltermann , Jeremy Hilton , Hsin-Yuan Huang , Mike Hucka , Christopher Hudspeth , Ashley Huff , William J. Huggins , Evan Jeffrey , Shaun Jevons , Zhang Jiang , Xiaoxuan Jin , Cody Jones , Chaitali Joshi , Pavol Juhas , Andreas Kabel , Dvir Kafri , Hui Kang , Kiseo Kang , Amir H. Karamlou , Ryan Kaufman , Kostyantyn Kechedzhi , Julian Kelly , Tanuj Khattar , Mostafa Khezri , Seon Kim , Paul V. Klimov , Can M. Knaut , Bryce Kobrin , Alexander N. Korotkov , Fedor Kostritsa , John Mark Kreikebaum , Ryuho Kudo , Ben Kueffler , Arun Kumar , Vladislav D. Kurilovich , Vitali Kutsko , Tiano Lange-Dei , Brandon W. Langley , Pavel Laptev , Kim-Ming Lau , Emma Leavell , Justin Ledford , Joonho Lee , Joy Lee , Kenny Lee , Brian J. Lester , Wendy Leung , Lily Li , Wing Yan Li , Ming Li , Alexander T. Lill , William P. Livingston , Matthew T. Lloyd , Laura Lorenzo , Erik Lucero , Daniel Lundahl , Aaron Lunt , Sid Madhuk , Aniket Maiti , Ashley Maloney , Salvatore Mandrà , Leigh S. Martin , Orion Martin , Eric Mascot , Paul Das , Dmitri Maslov , Melvin Mathews , Cameron Maxfield , Jarrod R. McClean , Matt McEwen , Seneca Meeks , Anthony Megrant , Kevin C. Miao , Zlatko K. Minev , Reza Molavi , Sebastian Molina , Shirin Montazeri , Charles Neill , Michael Newman , Anthony Nguyen , Murray Nguyen , Chia-Hung Ni , Murphy Yuezhen Niu , Logan Oas , William D. Oliver , Raymond Orosco , Kristoffer Ottosson , Alice Pagano , Agustin Paolo , Sherman Peek , David Peterson , Alex Pizzuto , Elias Portoles , Rebecca Potter , Orion Pritchard , Michael Qian , Chris Quintana , Ganesh Ramachandran , Arpit Ranadive , Matthew J. Reagor , Rachel Resnick , David M. Rhodes , Daniel Riley , Gabrielle Roberts , Roberto Rodriguez , Emma Ropes , Lucia B. Rose , Eliott Rosenberg , Emma Rosenfeld , Dario Rosenstock , Elizabeth Rossi , David A. Rower , Robert Salazar , Kannan Sankaragomathi , Murat Can Sarihan , Kevin J. Satzinger , Max Schaefer , Sebastian Schroeder , Henry F. Schurkus , Aria Shahingohar , Michael J. Shearn , Aaron Shorter , Vladimir Shvarts , Volodymyr Sivak , Spencer Small , W. Clarke Smith , David A. Sobel , Barrett Spells , Sofia Springer , George Sterling , Jordan Suchard , Aaron Szasz , Alexander Sztein , Madeline Taylor , Jothi Priyanka Thiruraman , Douglas Thor , Dogan Timucin , Eifu Tomita , Alfredo Torres , M. Mert Torunbalci , Hao Tran , Abeer Vaishnav , Justin Vargas , Sergey Vdovichev , Guifre Vidal , Benjamin Villalonga , Catherine Heidweiller , Meghan Voorhees , Steven Waltman , Jonathan Waltz , Shannon X. Wang , Brayden Ware , James D. Watson , Yonghua Wei , Travis Weidel , Theodore White , Kristi Wong , Bryan W. Woo , Christopher J. Wood , Maddy Woodson , Cheng Xing , Z. Jamie Yao , Ping Yeh , Bicheng Ying , Juhwan Yoo , Noureldin Yosri , Elliot Young , Grayson Young , Adam Zalcman , Ran Zhang , Yaxing Zhang , Ningfeng Zhu , Nicholas Zobrist , Zhenjie Zou , Sergio Boixo , Hartmut Neven , Vadim Smelyanskiy , Trond I. Andersen , Pedram Roushan , Mikhail V. Feigelman , Lev B. Ioffe

We report on a remarkable spectral phenomenon in a generic type of quantum lattice gas model. As the interaction strength increases, eigenstates spontaneously reorganize and lead to plateaus of the interaction energy, with gaps opening akin…

Statistical Mechanics · Physics 2024-11-26 Wei-Han Li , Abbas Ali Saberi

We use exact diagonalization to study the eigenstate thermalization hypothesis (ETH) in the quantum dimer model on the square and triangular lattices. Due to the nonergodicity of the local plaquette-flip dynamics, the Hilbert space, which…

Statistical Mechanics · Physics 2017-09-25 Zhihao Lan , Stephen Powell

In the present work we revisit the problem of the quantum droplet in atomic Bose-Einstein condensates with an eye towards describing its ground state in the large density, so-called Thomas-Fermi limit. We consider the problem as being…

Quantum Gases · Physics 2024-01-17 J. Holmer , K. Z. Zhang , P. G. Kevrekidis

Despite extensive study of the liquid-gas phase transition, accurately determining the critical point and the critical exponents in fluid systems through direct simulation remains a challenge. We employ the eigen microstate theory (EMT) to…

Statistical Mechanics · Physics 2026-01-19 Lan Yang , Zhaorong Pang , Chongzhi Qiao , Gaoke Hu , Jiaqi Dong , Rui Shi , Xiaosong Chen

Exactly solvable models provide a unique method, via qualitative changes in the distribution of the ground-state roots of the Bethe Ansatz equations, to identify quantum phase transitions. Here we expand on this approach, in a quantitative…

Exactly Solvable and Integrable Systems · Physics 2015-06-22 Jon Links , Ian Marquette

Understanding the emergence of chaos in many-body quantum systems away from semi-classical limits, particularly in spatially local interacting spin Hamiltonians, has been a long-standing problem. In these intrinsically quantum regimes,…

Statistical Mechanics · Physics 2025-01-24 Christopher M. Langlett , Cheryne Jonay , Vedika Khemani , Joaquin F. Rodriguez-Nieva

Interference is observed when two independent Bose-Einstein condensates expand and overlap. This phenomenon is typical, in the sense that the overwhelming majority of wave functions of the condensates, uniformly sampled out of a suitable…

We investigate a one-dimensional correlated-hopping model of spinless fermions with an East constraint. We first analytically unravel the complete fragmentation structure of this model by labeling each fragment by a unique root…

Statistical Mechanics · Physics 2025-01-13 Maitri Ganguli , Sreemayee Aditya , Diptiman Sen