Drexel University - Comprehensive, integrated academics enhanced by co-operative education, technology, and research opportunities. | Drexel University
Drexel University
Search events. View events.

All Categories

Click for help in using calendar displays. Print the contents of the current screen.
Display Format: 
Event Details
Notify me if this event changes.Add this event to my personal calendar.
Go Back
Math Seminar: An Elementary Construction of the GKSL Master Equation for N-Level Open Quantum System
Start Date: 5/20/2019Start Time: 2:00 PM
End Date: 5/20/2019End Time: 3:00 PM

Event Description

Matthew Ziemke, Drexel University

Abstract: Irreversible open quantum systems are often modeled by semigroups of operators having various properties which are justified physically. We call such semigroups quantum dynamical semigroups (QDSs).

In 1976, in a paper by Gorini, Kossakowski, and Sudarshan and, in another by Lindblad, the form of the generator of a QDS was characterized in the case when the QDS is uniformly continuous. Their characterisation, now referred to as the GKSL master equation or the Lindblad equation, is used quite extensively in the study of open quantum systems.

In this talk, we will discuss an elementary construction of the GKSL master equation while carefully examining how each defining property of the semigroup contributes to the form of the generator. We will not do this in the general case, but rather for QDSs for N-level systems, which means the underlying Hilbert space is finite dimensional. This allows us to assume only a modest knowledge of linear algebra and so the talk should be accessible to a large audience.

Contact Information:
Name: Hugo Woerdeman
Email: hugo@math.drexel.edu
Korman Center, Room 245, 15 S. 33rd Street, Philadelphia, PA 19014
  • Everyone

  • Display Month:

    Advanced Search (New Search)
    Date Range:
    Time Range:

    Special Features: 

    Select item(s) to Search

    Select item(s) to Search
    Select item(s) to Search
    Select item(s) to Search