CQuIC Summer Course 2020

CQuIC Summer Course 2020

CQuIC Summer Course 2020

Many-body methods and techniques in quantum information

Course Instructor: Sayonee Ray

FRHTP Postdoctoral fellow, CQuIC, UNM

In this course, I will introduce the basic concepts in statistical physics, focusing on Landau's approach to phase transitions, critical exponents, universality class, Landau Ginzburg theory, functional integrals and renormalization group. This is followed by student presentations on more advanced topics that are relevant to quantum information science.

http://www.math.ubc.ca/~andrewr/research/intro_html/node14.html

Image credits: http://www.math.ubc.ca/~andrewr/research/intro_html/node14.html

Lecture 1

Ising model, Mean field theory, Landau phase transition, critical exponents, universality class.

Image credits: https://www.ibiblio.org/e-notes/Perc/ising.htm

Lecture 2

Landau Ginzburg free energy, functional integral, Green's functions, correlation functions

Image credits: https://www.semanticscholar.org/paper/Non-Fixed-Point-Renormalization-Group-Flow-Pe%C3%B1a/1b120976bdb2766052c98fd53de2d3defdaff850/figure/0

Lecture 3

Renormalization, real-space renormalization, Wilsonian renormalization, Gaussian fixed point, non-Gaussian fixed point.

Student presentations

Image credits: https://www.ibiblio.org/e-notes/Perc/ising.htm

Lecture 1

Continuous symmetries, O(N) models.

Presenter: Andrew Zhao

Image credits: http://qpt.physics.harvard.edu/qptweb/chap1.html

Lecture 2

Quantum phase transitions.

Presenter: Karthik Chinni

Image credit: https://towardsdatascience.com/the-mysterious-connection-between-cyclic-imaginary-time-and-temperature-c8fb241628d9

Lecture 3

Quantum-to-classical mapping.

Presenter: Sivaprasad Omanakuttan

Image credit: https://www.ggi.infn.it/talkfiles/slides/talk3275.pdf

Lecture 4

Locality in many-body physics.

Presenter: Manuel Munoz

Image credit: https://journals.aps.org/prx/abstract/10.1103/PhysRevX.5.041047

Lecture 5

Thermalization and localization

Presenter: Samuel Slezak

Image credit: https://blogs.scientificamerican.com/roots-of-unity/a-few-of-my-favorite-spaces-the-torus/

Lecture 6

Quantum phase transitions without symmetry breaking.

Presenter: Tyler Thurtell

Image credit: https://en.wikipedia.org/wiki/Renormalization_group

Lecture 7

Wavefunction renormalization

Presenter: Austin Daniel

Image credit: http://tensornetwork.org/trg/

Lecture 8

Review on Tensor networks.

Presenter: Rafael Alexander

Image credit: https://aip.scitation.org/doi/abs/10.1063/1.4955108?journalCode=jcp

Lecture 9

Renormalization in MPS.

Presenter: Vikas Buchemmavari

Image credit: https://slideplayer.com/slide/7728248/

Lecture 10

DMRG, tDMRG, open systems ideas.

Presenter: Anupam Mitra

Questions?

Contact srayatunm@unm.edu to get more information on the course

CQuIC homepage: cquic.unm.edu/

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