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In this work, we establish a general theory of phase transitions and quantum entanglement in the equilibrium state at arbitrary temperatures. First, we derived a set of universal functional relations between the matrix elements of two-body…

Quantum Physics · Physics 2018-05-07 Bo-Bo Wei

We present a general sufficiency condition for the presence of multipartite entanglement in thermal states stemming from the ground state entanglement. The condition is written in terms of the ground state entanglement and the partition…

Quantum Physics · Physics 2008-02-13 Damian Markham , Janet Anders , Vlatko Vedral , Mio Murao , Akimasa Miyake

Long-range entangled quantum states -- like cat states and topological order -- are key for quantum metrology and information purposes, but they cannot be prepared by any scalable unitary process. Intriguingly, using measurements as an…

Quantum Physics · Physics 2022-01-07 Ruben Verresen , Nathanan Tantivasadakarn , Ashvin Vishwanath

Quantifying multipartite entanglement in quantum many-body systems and hybrid quantum computing architectures is a fundamental yet challenging task. In recent years, thermodynamic quantities such as the maximum extractable work from an…

Quantum Physics · Physics 2025-11-06 Harsh Sharma , Sampriti Saha , A. S. Majumdar , Manik Banik , Himadri Shekhar Dhar

Results on heat current, entropy production rate and entanglement are reported for a quantum system coupled to two different temperature heat reservoirs. By applying a temperature gradient, different quantum states can be found with exactly…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Luis Quiroga , Ferney J. Rodriguez , Maria E. Ramirez , Roberto Paris

We show that the thermodynamic limit of a many-body system can reveal entanglement properties that are hard to detect in finite-size systems -- similar to how phase transitions only sharply emerge in the thermodynamic limit. The resulting…

Quantum Physics · Physics 2025-04-09 Lauritz van Luijk , Alexander Stottmeister , Henrik Wilming

We present large-scale quantum Monte Carlo simulation results on a realistic Hamiltonian of kagome-lattice Rydberg atom arrays. Although the system has no intrinsic disorder, intriguingly, our analyses of static and dynamic properties on…

Quantum Gases · Physics 2023-05-22 Zheng Yan , Yan-Cheng Wang , Rhine Samajdar , Subir Sachdev , Zi Yang Meng

Preparing finite temperature states in quantum simulators of spin systems, such as trapped ions or Rydberg atoms in optical tweezers, is challenging due to their almost perfect isolation from the environment. Here, we show how…

Quantum Physics · Physics 2024-12-03 Alexander Schuckert , Annabelle Bohrdt , Eleanor Crane , Michael Knap

Preparation of quantum thermal states of many-body systems is a key computational challenge for quantum processors, with applications in physics, chemistry, and classical optimization. We provide a simple and efficient algorithm for thermal…

Quantum Physics · Physics 2026-03-18 Jerome Lloyd , Dmitry A. Abanin

Classical simulation of quantum systems plays an important role in the study of many-body phenomena and in the benchmarking and verification of quantum technologies. Exact simulation is often limited to small systems because the dimension…

Quantum Physics · Physics 2024-06-04 Dominik S. Wild , Sabina Drăgoi , Corbin McElhanney , Jonathan Wurtz , Sheng-Tao Wang

Aimed at a more realistic classical description of natural quantum systems, we present a two-dimensional tensor network algorithm to study finite temperature properties of frustrated model quantum systems and real quantum materials. For…

Strongly Correlated Electrons · Physics 2024-06-12 Philipp Schmoll , Christian Balz , Bella Lake , Jens Eisert , Augustine Kshetrimayum

Discrete time quasi-crystals are non-equilibrium quantum phenomena with quasi-periodic order in the time dimension, and are an extension of the discrete time-crystal phase. As a natural platform to explore the non-equilibrium phase of…

Quantum Physics · Physics 2025-05-19 Xiaofan Luo , Yaoting Zhou , Zhongxiao Xu , Weilun Jiang

We use concepts from quantum cryptography to relate the entanglement in many-body mixed states to standard correlation functions. If a system can be used as a resource for distilling private keys -- random classical bits that are shared by…

Quantum Physics · Physics 2026-03-13 Samuel J. Garratt , Max McGinley

Refrigeration limits are of fundamental and practical importance. We here show that quantum systems can be cooled below existing incoherent cooling bounds by employing coherent virtual qubits, even if the amount of coherence is incompletely…

Quantum Physics · Physics 2024-10-25 Rodolfo R. Soldati , Durga B. R. Dasari , Jörg Wrachtrup , Eric Lutz

Understanding how interacting particles approach thermal equilibrium is a major challenge of quantum simulators. Unlocking the full potential of such systems toward this goal requires flexible initial state preparation, precise time…

Quantum Physics · Physics 2024-07-10 Trond I. Andersen , Nikita Astrakhantsev , Amir H. Karamlou , Julia Berndtsson , Johannes Motruk , Aaron Szasz , Jonathan A. Gross , Alexander Schuckert , Tom Westerhout , Yaxing Zhang , Ebrahim Forati , Dario Rossi , Bryce Kobrin , Agustin Di Paolo , Andrey R. Klots , Ilya Drozdov , Vladislav D. Kurilovich , Andre Petukhov , Lev B. Ioffe , Andreas Elben , Aniket Rath , Vittorio Vitale , Benoit Vermersch , Rajeev Acharya , Laleh Aghababaie Beni , Kyle Anderson , Markus Ansmann , Frank Arute , Kunal Arya , Abraham Asfaw , Juan Atalaya , Brian Ballard , Joseph C. Bardin , Andreas Bengtsson , Alexander Bilmes , Gina Bortoli , Alexandre Bourassa , Jenna Bovaird , Leon Brill , Michael Broughton , David A. Browne , Brett Buchea , Bob B. Buckley , David A. Buell , Tim Burger , Brian Burkett , Nicholas Bushnell , Anthony Cabrera , Juan Campero , Hung-Shen Chang , Zijun Chen , Ben Chiaro , Jahan Claes , Agnetta Y. Cleland , Josh Cogan , Roberto Collins , Paul Conner , William Courtney , Alexander L. Crook , Sayan Das , Dripto M. Debroy , Laura De Lorenzo , Alexander Del Toro Barba , Sean Demura , Paul Donohoe , Andrew Dunsworth , Clint Earle , Alec Eickbusch , Aviv Moshe Elbag , Mahmoud Elzouka , Catherine Erickson , Lara Faoro , Reza Fatemi , Vinicius S. Ferreira , Leslie Flores Burgos , Austin G. Fowler , Brooks Foxen , Suhas Ganjam , Robert Gasca , William Giang , Craig Gidney , Dar Gilboa , Marissa Giustina , Raja Gosula , Alejandro Grajales Dau , Dietrich Graumann , Alex Greene , Steve Habegger , Michael C. Hamilton , Monica Hansen , Matthew P. Harrigan , Sean D. Harrington , Stephen Heslin , Paula Heu , Gordon Hill , Markus R. Hoffmann , Hsin-Yuan Huang , Trent Huang , Ashley Huff , William J. Huggins , Sergei V. Isakov , Evan Jeffrey , Zhang Jiang , Cody Jones , Stephen Jordan , Chaitali Joshi , Pavol Juhas , Dvir Kafri , Hui Kang , Kostyantyn Kechedzhi , Trupti Khaire , Tanuj Khattar , Mostafa Khezri , Mária Kieferová , Seon Kim , Alexei Kitaev , Paul V. Klimov , Alexander N. Korotkov , Fedor Kostritsa , John Mark Kreikebaum , David Landhuis , Brandon W. Langley , Pavel Laptev , Kim-Ming Lau , Loïck Le Guevel , Justin Ledford , Joonho Lee , Kenny Lee , Yuri D. Lensky , Brian J. Lester , Wing Yan Li , Alexander T. Lill , Wayne Liu , William P. Livingston , Aditya Locharla , Daniel Lundahl , Aaron Lunt , Sid Madhuk , Ashley Maloney , Salvatore Mandrà , Leigh S. Martin , Orion Martin , Steven Martin , Cameron Maxfield , Jarrod R. McClean , Matt McEwen , Seneca Meeks , Kevin C. Miao , Amanda Mieszala , Sebastian Molina , Shirin Montazeri , Alexis Morvan , Ramis Movassagh , Charles Neill , Ani Nersisyan , Michael Newman , Anthony Nguyen , Murray Nguyen , Chia-Hung Ni , Murphy Yuezhen Niu , William D. Oliver , Kristoffer Ottosson , Alex Pizzuto , Rebecca Potter , Orion Pritchard , Leonid P. Pryadko , Chris Quintana , Matthew J. Reagor , David M. Rhodes , Gabrielle Roberts , Charles Rocque , Eliott Rosenberg , Nicholas C. Rubin , Negar Saei , Kannan Sankaragomathi , Kevin J. Satzinger , Henry F. Schurkus , Christopher Schuster , Michael J. Shearn , Aaron Shorter , Noah Shutty , Vladimir Shvarts , Volodymyr Sivak , Jindra Skruzny , Spencer Small , W. Clarke Smith , Sofia Springer , George Sterling , Jordan Suchard , Marco Szalay , Alex Sztein , Douglas Thor , Alfredo Torres , M. Mert Torunbalci , Abeer Vaishnav , Sergey Vdovichev , Benjamin Villalonga , Catherine Vollgraff Heidweiller , Steven Waltman , Shannon X. Wang , Theodore White , Kristi Wong , Bryan W. Woo , Cheng Xing , Z. Jamie Yao , Ping Yeh , Bicheng Ying , Juhwan Yoo , Noureldin Yosri , Grayson Young , Adam Zalcman , Ningfeng Zhu , Nicholas Zobrist , Hartmut Neven , Ryan Babbush , Sergio Boixo , Jeremy Hilton , Erik Lucero , Anthony Megrant , Julian Kelly , Yu Chen , Vadim Smelyanskiy , Guifre Vidal , Pedram Roushan , Andreas M. Lauchli , Dmitry A. Abanin , Xiao Mi

The computation of thermal properties of quantum many-body systems is a central challenge in our understanding of quantum mechanics. We introduce the Quantum Finite Temperature Lanczos Method (QFTLM), which extends the finite-temperature…

Quantum Physics · Physics 2026-05-15 Gian Gentinetta , Friederike Metz , William Kirby , Giuseppe Carleo

Phase transitions at a finite (i.e. non-zero) temperature are typically dominated by classical correlations, in contrast to zero temperature transitions where quantum mechanics plays an essential role. Therefore, it is natural to ask if…

Statistical Mechanics · Physics 2019-03-06 Tsung-Cheng Lu , Tarun Grover

Circular Rydberg states are ideal tools for quantum technologies, with huge mutual interactions and extremely long lifetimes in the tens of milliseconds range, two orders of magnitude larger than those of laser-accessible Rydberg states.…

Atomic Physics · Physics 2023-01-25 Haiteng Wu , Rémi Richaud , Jean-Michel Raimond , Michel Brune , Sébastien Gleyzes

A new computational method for finite-temperature properties of strongly correlated electrons is proposed by extending the variational Monte Carlo method originally developed for the ground state. The method is based on the path integral in…

Strongly Correlated Electrons · Physics 2016-06-10 Kensaku Takai , Kota Ido , Takahiro Misawa , Youhei Yamaji , Masatoshi Imada

Ultracold Rydberg atom arrays are an emerging platform for quantum simulation and computing. However, decoherence in these systems remains incompletely understood. Recent experiments [Guardado-Sanchez et al. Phys. Rev. X 8, 021069 (2018)]…

Quantum Gases · Physics 2025-01-27 Zewen Zhang , Ming Yuan , Bhuvanesh Sundar , Kaden R. A. Hazzard