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Add to Calendar 6/21/2019 11:00 am 6/21/2019 America/Chicago Special IMCT Seminar: Aperiodically driven integrable systems and their emergent steady states DESCRIPTION:

When an integrable system is driven periodically in time, it is known that the eventual steady state can be described by a generalized Gibbs ensemble. We will discuss what happens when an integrable system is driven aperiodically. In our calculations we will consider the one-dimensional Ising model in a transverse field which is driven in different ways. We will look at three kinds of aperiodic driving:

driving with a random noise, with a scale-invariant sequence (Thue-Morse) and with a quasiperiodic sequence (Fibonacci). We find that a random noise leads to the infinite temperature ensemble while the Thue-Morse sequence eventually (after an astronomically long time) leads to a periodic steady state because of some conserved quantities. The Fibonacci sequence leads to a wide variety of long-time behaviors, which are generally neither periodic nor infinite temperature states. However some limiting cases lead to almost periodic steady states.


References:

Nandy, Sen and Sen, Phys. Rev. X 7, 031034 (2017) and
Phys. Rev. B 98, 245144 (2018)

Maity, Bhattacharya, Dutta and Sen, Phys. Rev. B 99, 020306(R) (2019

\n\nSPEAKER: Prof. Diptiman Sen, Indian Institute of Science, Bangalore, India
3110 ESB false

Special IMCT Seminar: Aperiodically driven integrable systems and their emergent steady states

Speaker Prof. Diptiman Sen, Indian Institute of Science, Bangalore, India
Date: 6/21/2019
Time: 11 a.m.
Location: 3110 ESB
Sponsor: The Physics Department & The Institute for Condensed Matter Theory
Event Type: Seminar/Symposium
 

When an integrable system is driven periodically in time, it is known that the eventual steady state can be described by a generalized Gibbs ensemble. We will discuss what happens when an integrable system is driven aperiodically. In our calculations we will consider the one-dimensional Ising model in a transverse field which is driven in different ways. We will look at three kinds of aperiodic driving:

driving with a random noise, with a scale-invariant sequence (Thue-Morse) and with a quasiperiodic sequence (Fibonacci). We find that a random noise leads to the infinite temperature ensemble while the Thue-Morse sequence eventually (after an astronomically long time) leads to a periodic steady state because of some conserved quantities. The Fibonacci sequence leads to a wide variety of long-time behaviors, which are generally neither periodic nor infinite temperature states. However some limiting cases lead to almost periodic steady states.


References:

Nandy, Sen and Sen, Phys. Rev. X 7, 031034 (2017) and
Phys. Rev. B 98, 245144 (2018)

Maity, Bhattacharya, Dutta and Sen, Phys. Rev. B 99, 020306(R) (2019

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