Quantum models

Transverse-field Ising model

The transverse field Ising model is a quantum version of the classical Ising model. It features a lattice with nearest neighbour interactions determined by the alignment or anti-alignment of spin projections along the axis, as well as an external magnetic field perpendicular to the axis (without loss of generality, along the axis) which creates an energetic bias for one x-axis spin direction over the other. An important feature of this setup is that, in a quantum sense, the spin projection along the axis and the spin projection along the axis are not commuting observable quantities. That is, they cannot both be observed simultaneously. This means classical statistical mechanics cannot describe this model, and a quantum treatment is needed. Specifically, the model has the following quantum Hamiltonian: Here, the subscripts refer to lattice sites, and the sum is done over pairs of nearest neighbour sites and . and are representations of elements of the spin algebra (Pauli matrices, in the case of spin 1/2) acting on the spin variables of the corresponding sites. They anti-commute with each other if on the same site and commute with each other if on different sites. is a prefactor with dimensions of energy, and is another coupling coefficient that determines the relative strength of the external field compared to the nearest neighbour interaction. (Wikipedia).

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Determining adjacent angles

👉 Learn how to define and classify different angles based on their characteristics and relationships are given a diagram. The different types of angles that we will discuss will be acute, obtuse, right, adjacent, vertical, supplementary, complementary, and linear pair. The relationships

From playlist Angle Relationships From a Figure

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Determining if two angles are supplementary

👉 Learn how to define and classify different angles based on their characteristics and relationships are given a diagram. The different types of angles that we will discuss will be acute, obtuse, right, adjacent, vertical, supplementary, complementary, and linear pair. The relationships

From playlist Angle Relationships From a Figure

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Determining two angles that are supplementary

👉 Learn how to define and classify different angles based on their characteristics and relationships are given a diagram. The different types of angles that we will discuss will be acute, obtuse, right, adjacent, vertical, supplementary, complementary, and linear pair. The relationships

From playlist Angle Relationships From a Figure

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Determining if two angles are adjacent or not

👉 Learn how to define and classify different angles based on their characteristics and relationships are given a diagram. The different types of angles that we will discuss will be acute, obtuse, right, adjacent, vertical, supplementary, complementary, and linear pair. The relationships

From playlist Angle Relationships From a Figure

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Duality and domain wall dynamics in CoNb2O6 by Ribhu Kaul

PROGRAM FRUSTRATED METALS AND INSULATORS (HYBRID) ORGANIZERS: Federico Becca (University of Trieste, Italy), Subhro Bhattacharjee (ICTS-TIFR, India), Yasir Iqbal (IIT Madras, India), Bella Lake (Helmholtz-Zentrum Berlin fĂĽr Materialien und Energie, Germany), Yogesh Singh (IISER Mohali, In

From playlist FRUSTRATED METALS AND INSULATORS (HYBRID, 2022)

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Local entanglement and confinement transitions in random quantum spin-ice models by Rajiv Singh

PROGRAM THERMALIZATION, MANY BODY LOCALIZATION AND HYDRODYNAMICS ORGANIZERS: Dmitry Abanin, Abhishek Dhar, François Huveneers, Takahiro Sagawa, Keiji Saito, Herbert Spohn and Hal Tasaki DATE : 11 November 2019 to 29 November 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore How do is

From playlist Thermalization, Many Body Localization And Hydrodynamics 2019

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Parallel and Perpendicular Lines in the Coordinate Plane

Link: https://www.geogebra.org/m/SHwBn7Qq

From playlist Algebra 1: Dynamic Interactives!

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Determining Two Angles are Consecutive Interior Angles from a Figure

👉 Learn how to identify angles from a figure. This video explains how to solve problems using angle relationships between parallel lines and transversal. We'll determine the solution given, corresponding, alternate interior and exterior. All the angle formed by a transversal with two paral

From playlist Parallel Lines and a Transversal

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Melting of three-sublattice and easy-axis antiferromagnets on triangular and kagome lattices

New questions in quantum field theory from condensed matter theory Talk Title : Melting of three­sublattice order in easy­axis antiferromagnets on triangular and kagome lattices by Kedar Damle URL: http://www.icts.res.in/discussion_meeting/qft2015/ Description:- The last couple of decade

From playlist New questions in quantum field theory from condensed matter theory

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Some aspects of non-equilibrium dynamics by Diptiman Sen (Part 2)

School on Current Frontiers in Condensed Matter Research URL: http://www.icts.res.in/program/cficmr16 DATES: Monday 20 Jun, 2016 - Wednesday 29 Jun, 2016 VENUE : Ramanujan Lecture Hall, ICTS Bangalore DESCRIPTION: Understanding strongly interacting quantum many body systems is one of

From playlist School on Current Frontiers in Condensed Matter Research

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Stochastic Approach to Non-Equilibrium Quantum Spin Systems by Joe Bhaseen

PROGRAM NON-HERMITIAN PHYSICS - PHHQP XVIII DATE :04 June 2018 to 13 June 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore Non-Hermitian Physics-"Pseudo-Hermitian Hamiltonians in Quantum Physics (PHHQP) XVIII" is the 18th meeting in the series that is being held over the years in Qua

From playlist Non-Hermitian Physics - PHHQP XVIII

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Geometry - Identifying Corresponding Angles from a Figure

👉 Learn how to identify angles from a figure. This video explains how to solve problems using angle relationships between parallel lines and transversal. We'll determine the solution given, corresponding, alternate interior and exterior. All the angle formed by a transversal with two paral

From playlist Parallel Lines and a Transversal

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2020 Theory Winter School: Srinivas Raghu

Topic: Boson-ferimon duality in strongly coupled field theories For more information on the 2020 Theory Winter School: https://nationalmaglab.org/news-events/events/for-scientists/winter-theory-school

From playlist 2020 Theory Winter School

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Frustrated transverse field ising models by Kedar Damle

Program The 2nd Asia Pacific Workshop on Quantum Magnetism ORGANIZERS: Subhro Bhattacharjee, Gang Chen, Zenji Hiroi, Ying-Jer Kao, SungBin Lee, Arnab Sen and Nic Shannon DATE: 29 November 2018 to 07 December 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Frustrated quantum magne

From playlist The 2nd Asia Pacific Workshop on Quantum Magnetism

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Adding Vectors Geometrically: Dynamic Illustration

Link: https://www.geogebra.org/m/tsBer5An

From playlist Trigonometry: Dynamic Interactives!

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Exactly solved models by R. Rajesh

DATES Friday 01 Jul, 2016 - Friday 15 Jul, 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore This advanced level school is the seventh in the series. The school is being jointly organised by the International Centre for Theoretical Sciences (ICTS) and the Raman Research Institute (RRI). T

From playlist Bangalore School On Statistical Physics - VII

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Dynamical phase transitions, eigenstate thermalization, and Schrodinger cats... - David A. Huse

David A. Huse Princeton University October 15, 2013 An isolated quantum many-body system may be a reservoir that thermalizes its constituents. I will explore an example of the interplay of this thermalization and spontaneous symmetry-breaking, in the ferromagnetic phase of an infinite-rang

From playlist Mathematics

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Perpendicular Bisector of a Line Segment and Triangle

This geometry video tutorial provides a basic introduction into the perpendicular bisector of a line segment and a triangle. it discusses the perpendicular bisector theorem and the definition of perpendicular bisectors in addition to how to use them in a geometry two column proof problem

From playlist Geometry Video Playlist

Related pages

Ferromagnetism | Quantum clock model | Hilbert space | Hamiltonian (quantum mechanics) | Ising model | Kramers–Wannier duality | Minimal model (physics)