Quantum many-body systems in thermal equilibrium

• URL: http://arxiv.org/abs/2204.08349v2
• Date: Fri, 21 Jul 2023 14:58:51 GMT
• Title: Quantum many-body systems in thermal equilibrium
• Authors: \'Alvaro M. Alhambra
• Abstract summary: The thermal or equilibrium ensemble is one of the most ubiquitous states of matter. We focus on mathematically rigorous statements, many of them inspired by ideas and tools from quantum information theory.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The thermal or equilibrium ensemble is one of the most ubiquitous states of matter. For models comprised of many locally interacting quantum particles, it describes a wide range of physical situations, relevant to condensed matter physics, high energy physics, quantum chemistry and quantum computing, among others. We give a pedagogical overview of some of the most important universal features about the physics and complexity of these states, which have the locality of the Hamiltonian at its core. We focus on mathematically rigorous statements, many of them inspired by ideas and tools from quantum information theory. These include bounds on their correlations, the form of the subsystems, various statistical properties, and the performance of classical and quantum algorithms. We also include a summary of a few of the most important technical tools, as well as some self-contained proofs.

Related papers

• Open quantum systems -- A brief introduction [0.0]
  This text is a short introduction to the physics of driven-dissipative many-body systems. We will focus on one of the simplest, yet most effective, descriptions of open quantum systems, namely the (Gorini-Kossakowski-Sudarshan-) Lindblad master equation.
  arXiv  Detail & Related papers  (2024-07-23T21:46:57Z)
• A Theory of Quantum Jumps [44.99833362998488]
  We study fluorescence and the phenomenon of quantum jumps'' in idealized models of atoms coupled to the quantized electromagnetic field. Our results amount to a derivation of the fundamental randomness in the quantum-mechanical description of microscopic systems.
  arXiv  Detail & Related papers  (2024-04-16T11:00:46Z)
• Introduction to quantum entanglement in many-body systems [0.0]
  The purpose of this chapter is to give a pedagogical introduction to the topic with a special emphasis on the multipartite scenario. We start by providing the necessary mathematical tools and elementary concepts from entanglement theory. Then, we focus on various entanglement structures useful in condensed-matter theory such as tensor-network states or symmetric states useful for quantum-enhanced sensing.
  arXiv  Detail & Related papers  (2024-02-14T19:01:10Z)
• Information scrambling -- a quantum thermodynamic perspective [0.0]
  Recent advances in quantum information science have shed light on the intricate dynamics of quantum many-body systems. This perspective aims at synthesizing key findings from several pivotal studies and exploring various aspects of quantum scrambling.
  arXiv  Detail & Related papers  (2024-01-10T18:15:09Z)
• Quantum data learning for quantum simulations in high-energy physics [55.41644538483948]
  We explore the applicability of quantum-data learning to practical problems in high-energy physics. We make use of ansatz based on quantum convolutional neural networks and numerically show that it is capable of recognizing quantum phases of ground states. The observation of non-trivial learning properties demonstrated in these benchmarks will motivate further exploration of the quantum-data learning architecture in high-energy physics.
  arXiv  Detail & Related papers  (2023-06-29T18:00:01Z)
• Emergent quantum state designs from individual many-body wavefunctions [3.9606043744835375]
  We show that a single non-random quantum state is shown to encode universal and highly random quantum state ensembles. Our results offer a new approach for studying quantum chaos and provide a practical method for sampling approximately uniformly random states.
  arXiv  Detail & Related papers  (2021-03-05T08:32:47Z)
• Experimental Validation of Fully Quantum Fluctuation Theorems Using Dynamic Bayesian Networks [48.7576911714538]
  Fluctuation theorems are fundamental extensions of the second law of thermodynamics for small systems. We experimentally verify detailed and integral fully quantum fluctuation theorems for heat exchange using two quantum-correlated thermal spins-1/2 in a nuclear magnetic resonance setup.
  arXiv  Detail & Related papers  (2020-12-11T12:55:17Z)
• Operational Resource Theory of Imaginarity [48.7576911714538]
  We show that quantum states are easier to create and manipulate if they only have real elements. As an application, we show that imaginarity plays a crucial role for state discrimination.
  arXiv  Detail & Related papers  (2020-07-29T14:03:38Z)
• Preferred basis, decoherence and a quantum state of the Universe [77.34726150561087]
  We review a number of issues in foundations of quantum theory and quantum cosmology. These issues can be considered as a part of the scientific legacy of H.D. Zeh.
  arXiv  Detail & Related papers  (2020-06-28T18:07:59Z)
• Non-Hermitian Physics [4.511923587827301]
  Review is given on the foundations and applications of non-Hermitian classical and quantum physics. In particular, we discuss rich and unique phenomena found therein, such as unidirectional invisibility. Other topics related to non-Hermitian physics, including nonreciprocal transport, speed limits, nonunitary quantum walk, are also reviewed.
  arXiv  Detail & Related papers  (2020-06-02T18:00:01Z)
• Quantum Hall phase emerging in an array of atoms interacting with photons [101.18253437732933]
  Topological quantum phases underpin many concepts of modern physics. Here, we reveal that the quantum Hall phase with topological edge states, spectral Landau levels and Hofstadter butterfly can emerge in a simple quantum system. Such systems, arrays of two-level atoms (qubits) coupled to light being described by the classical Dicke model, have recently been realized in experiments with cold atoms and superconducting qubits.
  arXiv  Detail & Related papers  (2020-03-18T14:56:39Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.