AI summary · arXiv: 1305.4679v1 · cond-mat.stat-mech
Understanding quantum entanglement by thermo field dynamics
The essentials
- Authors Yoichiro Hashizume and Masuo Suzuki propose a novel method to understand quantum entanglement through thermo field dynamics (TFD) in a double Hilbert space framework.
- The method leverages the tilde space in TFD as tracers of initial states, aiding in a clearer comprehension of entanglement states.
- An extended density matrix is defined on the double Hilbert space, allowing for a comprehensive formulation to examine various scenarios.
- The authors distinguish intrinsic quantum entanglement from thermal fluctuations at finite temperatures, revealing insights into the mechanisms governing entangled systems.
- The method using TFD is applicable not only to equilibrium states but also to non-equilibrium conditions, showcasing versatility and offering insights into both types of states.
- Overall, the research contributes significantly to understanding quantum entanglement and highlights the potential of TFD in unraveling complex quantum phenomena.
Key points written by AI: they may contain errors, check them against the paper.
Ask questions about this paper to our AI assistant
How to chat with this paper? Illustrated guide
You can also chat with multiple papers at once here.
Keep this conversation — a free account saves your questions and answers, your collections of papers and your alerts.
Create a free accountTools for this paper
Advanced tools Premium
For researchers who follow a field closely: citation alerts, journal-club slides, version comparison and Zotero export. Discover Premium
Papers around this one
See them on a mapRanked by how close their title and abstract are to this paper’s. Select some to read them together.
Closest papers
-
Large deviation full counting statistics in adiabatic open quantum dynamicsPaulo J. Paulino, Igor Lesanovsky, Federico Carollo · 2024 · Statistical Mechanics · AI summary available
Abstract
The state of an open quantum system undergoing an adiabatic process evolves by following the instantaneous stationary state of its time-dependent generator. This observation allows one to characterize, for a generic adiabatic evolution, the average dynamics of the open system. However, information about fluctuations of dynamical observables, such as the number of photons emitted or the time-integrated stochastic entropy production in single experimental runs, requires controlling the whole spectrum of the generator and not only the stationary state. Here, we show how such information can be obtained in adiabatic open quantum dynamics by exploiting tools from large deviation theory. We prove …
-
Field Theory of BirhythmicitySergei Shmakov, Peter B. Littlewood · 2025 · Statistical Mechanics · AI summary available
Abstract
Non-equilibrium dynamics are present in many aspects of our lives, ranging from microscopic physical systems to the functioning of the brain. What characterizes stochastic models of non-equilibrium processes is the breaking of the fluctuation-dissipation relations as well as the existence of non-static stable states, or phases. A prototypical example is a dynamical phase characterized by a limit cycle - the order parameter of finite magnitude rotating or oscillating at a fixed frequency. Consequently, birhythmicity, where two stable limit cycles coexist, is a natural extension of the simpler single limit cycle phase. Both the abundance of real systems exhibiting such states as well as their …
-
Topology protects chiral edge currents in stochastic systemsEvelyn Tang, Jaime Agudo-Canalejo, Ramin Golestanian · 2020 · Phys. Rev. X 11, 031015 (2021) · AI summary available
Abstract
Constructing systems that exhibit time-scales much longer than those of the underlying components, as well as emergent dynamical and collective behavior, is a key goal in fields such as synthetic biology and materials self-assembly. Inspiration often comes from living systems, in which robust global behavior prevails despite the stochasticity of the underlying processes. Here, we present two-dimensional stochastic networks that consist of minimal motifs representing out-of-equilibrium cycles at the molecular scale and support chiral edge currents in configuration space. These currents arise in the topological phase due to the bulk-boundary correspondence and dominate the system dynamics in t…
-
Dissipation in Hydrodynamics from Micro- to Macroscale: Wisdom from Boltzmann and Stochastic ThermodynamicsDanilo Forastiere, Francesco Avanzini, Massimiliano Esposito · 2023 · Statistical Mechanics · AI summary available
Abstract
We show that macroscopic irreversible thermodynamics for viscous fluids can be derived from exact information-theoretic thermodynamic identities valid at the microscale. Entropy production in particular is a measure of the loss of many-particle correlations in the same way in which it measures the loss of system-reservoirs correlations in stochastic thermodynamics (ST). More specifically, we first show that boundary conditions at the macroscopic level define a natural decomposition of the entropy production rate (EPR) in terms of thermodynamic forces multiplying their conjugated currents, as well as a change in suitable nonequilibrium potential that acts as a Lyapunov function in absence of …
-
First-order transition and marginal critical behavior in a novel 2D frustrated Ising modelChristophe Chatelain · 2024 · Phys. Rev. E 111, 024109 (2024) · AI summary available
Abstract
The phase diagram of a novel two-dimensional frustrated Ising model with both anti-ferromagnetic and ferromagnetic couplings is studied using Tensor-Network Renormalization-Group techniques. This model can be seen as two anti-ferromagnetic Ising replicas coupled by non-local spin-spin interactions, designed in such a way that the continuum limit matches that of the still debated J1 -J2 model and induces a marginal critical behavior. Our model has the advantage of having more symmetries than the J1 -J2 model and of allowing a more straightforward implementation of Tensor-Network Renormalization-Group algorithms We demonstrate the existence of two transition lines, featuring both first and sec…
-
Maximum Kolmogorov-Sinai entropy vs minimum mixing time in Markov chainsMartin Mihelich, Berengere Dubrulle, Didier Paillard et al. · 2015 · Statistical Mechanics · AI summary available
Abstract
Many modern techniques employed in physics, such a computation of path integrals, rely on random walks on graphs that can be represented as Markov chains. Traditionally, estimates of running times of such sampling algorithms are computed using the number of steps in the chain needed to reach the stationary distribution. This quantity is generally defined as mixing time and is often difficult to compute. In this paper, we suggest an alternative estimate based on the Kolmogorov-Sinai entropy, by establishing a link between the maximization of KSE and the minimization of the mixing time. Since KSE are easier to compute in general than mixing time, this link provides a new faster method to appro…
-
Diffusion and Relaxation Controlled by Tempered α-stable ProcessesAleksander Stanislavsky, Karina Weron, Aleksander Weron · 2011 · Phys. Rev. E 78, 051106 (2008) · AI summary available
Abstract
We derive general properties of anomalous diffusion and nonexponential relaxation from the theory of tempered \alpha-stable processes. Its most important application is to overcome the infinite-moment difficulty for the \alpha-stable random operational time \tau. The tempering results in the existence of all moments of \tau. The subordination by the inverse tempered \alpha-stable process provides diffusion(relaxation) that occupies an intermediate place between subdiffusion (Cole-Cole law) and normal diffusion (exponential law). Here we obtain explicitly the Fokker-Planck equation, the mean square displacement and the relaxation function. This model includes subdiffusion as a particular case…
-
Scrambling in Random Unitary Circuits: Exact ResultsBruno Bertini, Lorenzo Piroli · 2020 · Phys. Rev. B 102, 064305 (2020) · AI summary available
Abstract
We study the scrambling of quantum information in local random unitary circuits by focusing on the tripartite information proposed by Hosur et al. We provide exact results for the averaged R\'enyi-$2$ tripartite information in two cases: (i) the local gates are Haar random and (ii) the local gates are dual-unitary and randomly sampled from a single-site Haar-invariant measure. We show that the latter case defines a one-parameter family of circuits, and prove that for a "maximally chaotic" subset of this family quantum information is scrambled faster than in the Haar-random case. Our approach is based on a standard mapping onto an averaged folded tensor network, that can be studied by means o…
Go further
How are these papers found?
We compare the title and abstract of this paper with those of every paper summarized on this site, and with the papers Semantic Scholar recommends, those it cites and those citing it (for a much-cited paper, its most recent citations and, from OpenAlex, the most cited ones). Among the prior work and the follow-ups, the papers that use each other in depth, a method it uses and the much-cited follow-ups come a little higher. The levels (very close, close, related) come from the similarity of the texts, not from a judgment of quality; * marks a paper without an abstract, compared by its title. The sentence under a paper is written by an AI from the two abstracts: check it in the papers. A paper marked not relevant by three readers leaves the list.
For now only among the papers summarized on this site: search again to add the prior work, the follow-ups and Semantic Scholar’s recommendations.
The previous summary was created more than a year ago and can be re-run (if necessary) by clicking on the Run button below.
Disclaimer: The AI-based summarization tool and virtual assistant provided on this website may not always provide accurate and complete summaries or responses. We encourage you to carefully review and evaluate the generated content to ensure its quality and relevance to your needs.