The topological entanglement entropy or topological entropy, usually denoted by , is a number characterizing many-body states that possess topological order. A non-zero topological entanglement entropy reflects the presence of long range quantum entanglements in a many-body quantum state. So the topological entanglement entropy links topological order with pattern of long range quantum entanglements. Given a topologically ordered state, the topological entropy can be extracted from the asymptotic behavior of the Von Neumann entropy measuring the quantum entanglement between a spatial block and the rest of the system. The entanglement entropy of a simply connected region of boundary length L, within an infinite two-dimensional topologically ordered state, has the following form for large L: where is the topological entanglement entropy. The topological entanglement entropy is equal to the logarithm of the total of the quasiparticle excitations of the state. For example, the simplest fractional quantum Hall states, the Laughlin states at filling fraction 1/m, have γ = ½log(m). The Z2 fractionalized states, such as topologically ordered states of Z2 spin-liquid, quantum dimer models on non-bipartite lattices, and Kitaev's toric code state, are characterized γ = log(2). (Wikipedia).
Entropy is often taught as a measure of how disordered or how mixed up a system is, but this definition never really sat right with me. How is "disorder" defined and why is one way of arranging things any more disordered than another? It wasn't until much later in my physics career that I
From playlist Thermal Physics/Statistical Physics
What is Geometric Entropy, and Does it Really Increase? - Jozsef Beck
Jozsef Beck Rutgers, The State University of New Jersey April 9, 2013 We all know Shannon's entropy of a discrete probability distribution. Physicists define entropy in thermodynamics and in statistical mechanics (there are several competing schools), and want to prove the Second Law, but
From playlist Mathematics
Physics - Thermodynamics 2: Ch 32.7 Thermo Potential (10 of 25) What is Entropy?
Visit http://ilectureonline.com for more math and science lectures! In this video explain and give examples of what is entropy. 1) entropy is a measure of the amount of disorder (randomness) of a system. 2) entropy is a measure of thermodynamic equilibrium. Low entropy implies heat flow t
From playlist PHYSICS 32.7 THERMODYNAMIC POTENTIALS
Teach Astronomy - Entropy of the Universe
http://www.teachastronomy.com/ The entropy of the universe is a measure of its disorder or chaos. If the laws of thermodynamics apply to the universe as a whole as they do to individual objects or systems within the universe, then the fate of the universe must be to increase in entropy.
From playlist 23. The Big Bang, Inflation, and General Cosmology 2
Maxwell-Boltzmann distribution
Entropy and the Maxwell-Boltzmann velocity distribution. Also discusses why this is different than the Bose-Einstein and Fermi-Dirac energy distributions for quantum particles. My Patreon page is at https://www.patreon.com/EugeneK 00:00 Maxwell-Boltzmann distribution 02:45 Higher Temper
From playlist Physics
Physics - Thermodynamics: (1 of 5) Entropy - Basic Definition
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain and help you understand entropy.
From playlist PHYSICS - THERMODYNAMICS
The lecture was held within the framework of the Hausdorff Trimester Program "Dynamics: Topology and Numbers": Conference on “Transfer operators in number theory and quantum chaos” Abstract: In many classical compact settings, entropy is upper semicontinuous, i.e., given a con
From playlist Conference: Transfer operators in number theory and quantum chaos
MagLab Theory Winter School 2018: Ryu Shinsei: Quantum Entangle in Conformal & Topological 2
The National MagLab held it's sixth Theory Winter School in Tallahassee, FL from January 8th - 13th, 2018.
From playlist 2018 Theory Winter School
Entropy from superspace inflow by Mukund Rangamani
ORGANIZERS : Pallab Basu, Avinash Dhar, Rajesh Gopakumar, R. Loganayagam, Gautam Mandal, Shiraz Minwalla, Suvrat Raju, Sandip Trivedi and Spenta Wadia DATE : 21 May 2018 to 02 June 2018 VENUE : Ramanujan Lecture Hall, ICTS Bangalore In the past twenty years, the discovery of the AdS/C
From playlist AdS/CFT at 20 and Beyond
Entanglement and Topology in Quantum Solids (Lecture 1) by Ashvin Vishwanath
INFOSYS-ICTS CHANDRASEKHAR LECTURES ENTANGLEMENT AND TOPOLOGY IN QUANTUM SOLIDS SPEAKER: Ashvin Vishwanath (Harvard University) DATE: 23 December 2019, 16:00 to 17:00 VENUE: Ramanujan lecture hall, ICTS campus Lecture 1 : Entanglement and Topology in Quantum Solids. Date & Time : Mon
From playlist Infosys-ICTS Chandrasekhar Lectures
Detecting finite-temperature topological order by Tarun Grover
DISCUSSION MEETING NOVEL PHASES OF QUANTUM MATTER ORGANIZERS: Adhip Agarwala, Sumilan Banerjee, Subhro Bhattacharjee, Abhishodh Prakash and Smitha Vishveshwara DATE: 23 December 2019 to 02 January 2020 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Recent theoretical and experimental
From playlist Novel Phases of Quantum Matter 2019
Entropy's role on Thermodynamics
Thermodynamics depends on enthalpy, but it also depends on entropy. Entropy is a quantitative measure of the disorder of a system. We can see how reactions tend to go from order to disorder. At best they can switch between the two reversibly (second law of thermodynamics). There exist reac
From playlist Materials Sciences 101 - Introduction to Materials Science & Engineering 2020
Dynamic and Topological Phase Transitions... - Wang - Workshop 1 - CEB T3 2019
Wang (Indiana University) / 09.10.2019 Dynamic and Topological Phase Transitions in Geophysical Fluid Dynamics A dynamic phase transition refers to transitions of the underlying physical system from one state to another, as the control parameter crosses certain critical threshold. The
From playlist 2019 - T3 - The Mathematics of Climate and the Environment
Örs Legeza: "Tensor network state methods in material science and ab initio quantum chemistry"
Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021 Workshop II: Tensor Network States and Applications "Tensor network state methods in material science and ab initio quantum chemistry" Örs Legeza - Wigner Research Centre for Physics Abstract: In this contrib
From playlist Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021
A better description of entropy
I use this stirling engine to explain entropy. Entropy is normally described as a measure of disorder but I don't think that's helpful. Here's a better description. Visit my blog here: http://stevemould.com Follow me on twitter here: http://twitter.com/moulds Buy nerdy maths things here:
From playlist Best of
Entanglement in QFT and Quantum Gravity (Lecture 3) by Tom Hartman
PROGRAM KAVLI ASIAN WINTER SCHOOL (KAWS) ON STRINGS, PARTICLES AND COSMOLOGY (ONLINE) ORGANIZERS Francesco Benini (SISSA, Italy), Bartek Czech (Tsinghua University, China), Dongmin Gang (Seoul National University, South Korea), Sungjay Lee (Korea Institute for Advanced Study, South Korea
From playlist Kavli Asian Winter School (KAWS) on Strings, Particles and Cosmology (ONLINE) - 2022
Entanglement entropy, quantum field theory, and holography by Matthew Headrick
26 December 2016 to 07 January 2017 VENUE: Madhava Lecture Hall, ICTS Bangalore Information theory and computational complexity have emerged as central concepts in the study of biological and physical systems, in both the classical and quantum realm. The low-energy landscape of classical
From playlist US-India Advanced Studies Institute: Classical and Quantum Information
David Burguet: Some new dynamical applications of smooth parametrizations for C∞ systems - lecture 3
Smooth parametrizations of semi-algebraic sets were introduced by Yomdin in order to bound the local volume growth in his proof of Shub’s entropy conjecture for C∞ maps. In this minicourse we will present some refinement of Yomdin’s theory which allows us to also control the distortion. We
From playlist Dynamical Systems and Ordinary Differential Equations
Entropy Explained In 60 Seconds!! #Thermodynamics #Chemistry #Physics #Math #NicholasGKK #Shorts
From playlist Heat and Chemistry