Quantum Entanglement (PH797, Summer, 2017) Course Information

Course Description: Through this course students learn mathematical description and various properties of quantum entanglements in pure and mixed states. Examples of entanglement in quantum many-body systems are discussed.

Learning Objectives:
  • Quantum mechanics based on density operator.
  • Liouville (super) operator space
  • Pure vs. mixed state
  • Entanglement entropy
  • Quantum information
  • Entagnlement detection
  • Area laws of entanglement entropy
  • Entanglement in a chain of harmonic oscillators
  • Entanglement in a chain of spins
Day and Time: Mon. & Thu. 1:00PM-3:00PM
Room: CH304
Instructor: Dr. Ryoichi Kawai
email: kawai@uab.edu
phone: (205) 934-3931
skype*: userid = ryoichikawai
* You must send your skype user ID to the instructor by email in advance or your call will be blocked.
Office Hour: T/Th 3:30pm-4:30pm
Course Website: http://kawai.phy.uab.edu/courses/2017-Summer/ph797

Course Schedule
Required Textbook  

Entangled Systems
by J. Audretsch
Wiley-VCH, 2007
Other material are also used (see bellow).

Messages from the Instructor
    [04/22] Class begins on May 1st.

Reading Materials
  • "An introduction to entanglement measure", M. B. Plenio and S. Virmani, Quant.Inf.Comput.7:1-51,(2007) [Reprinted in Quantum Information and Coherence, Chapter 8 (Springer, 2014)]. arXiv:quant-ph/0504163v3
  • "Entanglement in many-body quantum systems", J. I. Cirac in "Many-Body Physics with Ultracold Gases: Lecture Notes of the Les Houches Summer School: Volume 94, July 2010". arXiv:1205.3742
  • "Area laws for the entanglement entropy", J. Eisert, M. Cramer, and M. B. Plenio, Review of Modern Physics 82 277 (2010)
  • .