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DTSTART;TZID=America/Toronto:20230628T120000
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URL:https://uwaterloo.ca/institute-for-quantum-computing/events/iqc-student
 -seminar-featuring-devashish-tupkary
LOCATION:QNC - Quantum Nano Centre 200 University Avenue West QNC 1201 Wate
 rloo ON N2L 3G1 Canada
SUMMARY:IQC Student Seminar featuring Devashish Tupkary
CLASS:PUBLIC
DESCRIPTION:LINDBLADIANS OBEYING LOCAL CONSERVATION LAWS AND SHOWING\nTHERM
 ALIZATION\n\nThis talk will investigate the possibility of a Markovian q
 uantum\nmaster equation (QME) that consistently describes a finite-dimensi
 onal\nsystem\, a part of which is weakly coupled to a thermal bath. For\np
 hysical consistency\, we will demand that the QME should preserve\nlocal c
 onservation laws and be able to show thermalization. After\nproviding some
  background on QMEs\, I will present our three main\nresults: \n\n* The m
 icroscopically derived Redfield equation (RE)\, which is known\nto preserv
 e local conservation laws and show thermalization\,\nnecessarily violates 
 complete positivity except in extremely special\ncases. These special case
 s can be easily identified.\n * I will then turn to Lindblad QMEs and show
  that imposing complete\npositivity and demanding preservation of local co
 nservation laws\nenforces the Lindblad operators and the lamb-shift Hamilt
 onian to be\n`local'\, i.e. to be supported only on the part of the system
  directly\ncoupled to the bath.\n * Finally\, I will show how the problem 
 of finding 'local' Lindblad\nQME\, which can show thermalization\, can be 
 turned into a semidefinite\nprogram (SDP). This SDP can be solved numerica
 lly for any specific\nexample\, and its solution conclusively shows whethe
 r the desired type\nof QME is possible up to a given precision. Whenever a
  QME is\npossible\, it also outputs a form for such a QME.\n\nTaken togeth
 er\, our results indicate that the possibility of a\nMarkovian QME with th
 e desired properties must be taken on a\ncase-by-case basis\, since there 
 are setups where such a QME is\nimpossible. \n\nThis talk is based on htt
 ps://arxiv.org/abs/2301.02146\n[https://arxiv.org/abs/2301.02146].\n\nADD 
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DTSTAMP:20260407T090737Z
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