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We develop a nonequilibrium increment method in quantum Monte Carlo simulations to obtain the R\'enyi entanglement entropy of various quantum many-body systems with high efficiency and precision. To demonstrate its power, we show the…

强关联电子 · 物理学 2022-07-01 Jiarui Zhao , Bin-Bin Chen , Yan-Cheng Wang , Zheng Yan , Meng Cheng , Zi Yang Meng

Entanglement entropy encodes important features of strongly interacting quantum many-body systems and gauge theories, but its analytical study is still limited to systems with high level of symmetry. This motivates the search for efficient…

高能物理 - 格点 · 物理学 2023-09-28 Andrea Bulgarelli , Marco Panero

The R\'enyi entanglement entropy in quantum many-body systems can be viewed as the difference in free energy between partition functions with different trace topologies. We introduce an external field $\lambda$ that controls the partition…

强关联电子 · 物理学 2020-03-20 Jonathan D'Emidio

We present a scheme for measuring R\'enyi entropies in generic atomic Hubbard and spin models using single copies of a quantum state and for partitions in arbitrary spatial dimension. Our approach is based on the generation of random…

量子物理 · 物理学 2018-02-07 Andreas Elben , Benoît Vermersch , Marcello Dalmonte , J. Ignacio Cirac , Peter Zoller

We present a method for improving measurements of the entanglement R\'enyi entropies in quantum Monte Carlo simulations by relating them with measurements of participation R\'enyi entropies. Exploiting the capability of building improved…

强关联电子 · 物理学 2014-11-11 David J. Luitz , Xavier Plat , Nicolas Laflorencie , Fabien Alet

Entanglement entropy has become an important theoretical concept in condensed matter physics, because it provides a unique tool for characterizing quantum mechanical many-body phases and new kinds of quantum order. However, the experimental…

介观与纳米尺度物理 · 物理学 2012-07-13 Dmitry A. Abanin , Eugene Demler

Quantum entanglement is one essential element to characterize many-body quantum systems. However, the entanglement measures are mostly discussed in Hermitian systems. Here, we propose a natural extension of entanglement and R\'enyi…

强关联电子 · 物理学 2022-06-15 Yi-Ting Tu , Yu-Chin Tzeng , Po-Yao Chang

We develop a quantum Monte Carlo procedure, in the valence bond basis, to measure the Renyi entanglement entropy of a many-body ground state as the expectation value of a unitary {\it Swap} operator acting on two copies of the system. An…

强关联电子 · 物理学 2012-01-18 Matthew B. Hastings , Ivan Gonzalez , Ann B. Kallin , Roger G. Melko

We propose a novel experimental protocol to measure generalized temporal entropies in many-body quantum systems. Our approach involves using local operators as probes to characterize the out-of-equilibrium dynamics induced by a geometric…

Entropy is a fundamental concept in equilibrium statistical mechanics, yet its origin in the non-equilibrium dynamics of isolated quantum systems is not fully understood. A strong consensus is emerging around the idea that the stationary…

统计力学 · 物理学 2017-09-20 Vincenzo Alba , Pasquale Calabrese

Entanglement is the key feature of many-body quantum systems, and the development of new tools to probe it in the laboratory is an outstanding challenge. Measuring the entropy of different partitions of a quantum system provides a way to…

R\'enyi entropies are conceptually valuable and experimentally relevant generalisations of the celebrated von Neumann entanglement entropy. After a quantum quench in a clean quantum many-body system they generically display a universal…

统计力学 · 物理学 2022-08-04 Bruno Bertini , Katja Klobas , Vincenzo Alba , Gianluca Lagnese , Pasquale Calabrese

We study the entanglement entropy in lattice field theory using a simulation algorithm based on Jarzynski's theorem. We focus on the entropic c-function for the Ising model in two and in three dimensions: after validating our algorithm…

量子物理 · 物理学 2023-06-21 Andrea Bulgarelli , Marco Panero

We present exact formulas for the entanglement and R\'{e}nyi entropies generated at a quantum point contact (QPC) in terms of the statistics of charge fluctuations, which we illustrate with examples from both equilibrium and non-equilibrium…

介观与纳米尺度物理 · 物理学 2011-05-04 H. Francis Song , Christian Flindt , Stephan Rachel , Israel Klich , Karyn Le Hur

Entanglement entropy is an essential metric for characterizing quantum many-body systems, but its numerical evaluation for neural network representations of quantum states has so far been inefficient and demonstrated only for the restricted…

量子物理 · 物理学 2020-12-21 Zhaoyou Wang , Emily J. Davis

A new numerical approach to entanglement entropies of the Renyi type is proposed for one-dimensional quantum field theories. The method extends the truncated conformal spectrum approach and we will demonstrate that it is especially suited…

统计力学 · 物理学 2016-06-23 T. Palmai

We present a general scheme for the calculation of the Renyi entropy of a subsystem in quantum many-body models that can be efficiently simulated via quantum Monte Carlo. When the simulation is performed at very low temperature, the above…

强关联电子 · 物理学 2013-05-30 Stephan Humeniuk , Tommaso Roscilde

Despite being a well-established operational approach to quantify entanglement, R\'enyi entropy calculations have been plagued by their computational complexity. We introduce here a theoretical framework based on an optimal thermodynamic…

统计力学 · 物理学 2022-07-14 Miha Srdinšek , Michele Casula , Rodolphe Vuilleumier

We examine the Jarzynski equality for a quenching process across the critical point of second-order phase transitions, where absolute irreversibility and the effect of finite-sampling of the initial equilibrium distribution arise on an…

Recently, many experiments have been conducted with the goal of demonstrating a quantum advantage over classical computation. One popular framework for these experiments is Gaussian Boson Sampling, where quadratic photonic input states are…

量子物理 · 物理学 2025-05-09 Jason Youm , Joseph T. Iosue , Adam Ehrenberg , Yu-Xin Wang , Alexey V. Gorshkov
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