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We study the zeros in the complex plane of the partition function for the Ising model coupled to 2d quantum gravity for complex magnetic field and real temperature, and for complex temperature and real magnetic field, respectively. We…

High Energy Physics - Lattice · Physics 2009-10-30 J. Ambjorn , K. N. Anagnostopoulos , U. Magnea

We study the zeros in the complex plane of the partition function for the Ising model coupled to $2d$ quantum gravity for complex magnetic field and for complex temperature. We compute the zeros by using the exact solution coming from a two…

High Energy Physics - Lattice · Physics 2009-10-30 J. Ambjørn , K. N. Anagnostopoulos , U. Magnea

Interacting quantum systems illustrate complex phenomena including phase transitions to novel ordered phases. The universal nature of critical phenomena reduces their description to determining only the transition temperature and the…

We propose a protocol for studying the purely imaginary Fisher zeros of the Ising model on a quantum computer. Our protocol is based on the direct relation between the partition function for purely imaginary temperature and the evolution…

Quantum Physics · Physics 2025-11-12 A. R. Kuzmak , V. M. Tkachuk

We consider the use of quantum noise to characterize many-body states of spin systems realized with ultracold atomic systems. These systems offer a wealth of experimental techniques for realizing strongly interacting many-body states in a…

Strongly Correlated Electrons · Physics 2009-11-11 R. W. Cherng , Eugene Demler

A scheme for measuring complex temperature partition functions of Ising models is introduced. In the context of ordered qubit registers this scheme finds a natural translation in terms of global operations, and single particle measurements…

Quantum Physics · Physics 2013-11-19 S. Iblisdir , M. Cirio , O. Boada , G. K. Brennen

We present an algorithm to approximate partition functions of 3-body classical Ising models on two-dimensional lattices of arbitrary genus, in the real-temperature regime. Even though our algorithm is purely classical, it is designed by…

Quantum Physics · Physics 2014-02-05 M. Van den Nest , W. Dür

A general numerical method is presented to locate the partition function zeros in the complex beta plane for large lattice sizes. We apply this method to the 2D Ising model and results are reported for square lattice sizes up tp L=64. We…

Statistical Mechanics · Physics 2009-10-30 Nelson A. Alves , J. R. Drugowich de Felicio , Ulrich H. E. Hansmann

We present a general, rigorous theory of partition function zeros for lattice spin models depending on one complex parameter. First, we formulate a set of natural assumptions which are verified for a large class of spin models in a…

Mathematical Physics · Physics 2007-05-23 Marek Biskup , Christian Borgs , Jennifer T. Chayes , Logan J. Kleinwaks , Roman Kotecky

The relation between the zeros of the partition function and spinodal critical points in Ising models with long-range interactions is investigated. We find the spinodal is associated with the zeros of the partition function in…

Condensed Matter · Physics 2009-11-10 Natali Gulbahce , Harvey Gould , W. Klein

We present calculations of the complex-temperature zeros of the partition functions for 2D Ising models on the square lattice with spin $s=1$, 3/2, and 2. These give insight into complex-temperature phase diagrams of these models in the…

High Energy Physics - Lattice · Physics 2009-10-28 Victor Matveev , Robert Shrock

Quantum sensing is one of the key areas which exemplifies the superiority of quantum technologies. Nonetheless, most quantum sensing protocols operate efficiently only when the unknown parameters vary within a very narrow region, i.e.,…

Quantum Physics · Physics 2021-05-26 Victor Montenegro , Utkarsh Mishra , Abolfazl Bayat

We face the problem of detecting and featuring footprints of quantum criticality in the finite-temperature behavior of quantum many-body systems. Our strategy is that of comparing the phase diagram of a system displaying a T=0 quantum phase…

Statistical Mechanics · Physics 2007-08-09 Alessandro Cuccoli , Alessio Taiti , Ruggero Vaia , Paola Verrucchi

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

Invasiveness of quantum measurements is a genuinely quantum mechanical feature that is not necessarily detrimental: Here we show how quantum measurements can be used to fuel a cooling engine. We illustrate quantum measurement cooling (QMC)…

Statistical Mechanics · Physics 2019-02-27 Lorenzo Buffoni , Andrea Solfanelli , Paola Verrucchi , Alessandro Cuccoli , Michele Campisi

We study the pattern of zeros emerging from exact partition function evaluations of Ising spin glasses on conventional finite lattices of varying sizes. A large number of random bond configurations are probed in the framework of quenched…

Condensed Matter · Physics 2009-10-22 P. H. Damgaard , J. Lacki

Simulation of quantum systems is notoriously challenging for classical computers, while quantum hardware is naturally well-suited for this task. However, the imperfections of contemporary quantum systems poses a considerable challenge in…

Quantum Physics · Physics 2025-01-10 Yotam Shapira , Jovan Markov , Nitzan Akerman , Ady Stern , Roee Ozeri

A quantum simulator is a restricted class of quantum computer that controls the interactions between quantum bits in a way that can be mapped to certain difficult quantum many-body problems. As more control is exerted over larger numbers of…

Quantum Physics · Physics 2018-02-07 J. Zhang , G. Pagano , P. W. Hess , A. Kyprianidis , P. Becker , H. Kaplan , A. V. Gorshkov , Z. -X. Gong , C. Monroe

The study of zeros of partition functions, initiated by Yang and Lee, provides an important qualitative and quantitative tool in the study of critical phenomena. This has frequently been used for periodic as well as hierarchical lattices.…

Condensed Matter · Physics 2015-06-25 M. Baake , U. Grimm , C. Pisani

Concepts of the complex partition functions and the Fisher zeros provide intrinsic statistical mechanisms for finite temperature and real time dynamical phase transitions. We extend the utility of these complexifications to quantum phase…

Strongly Correlated Electrons · Physics 2024-09-25 Yang Liu , Songtai Lv , Yang Yang , Haiyuan Zou
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