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Square pulses with random drive period
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Classroom Contents
Floquet Engineering of Quantum Scars by Krishnendu Sengupta
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- 1 Floquet engineering of quantum scars
- 2 Outline
- 3 Eigenstate Thermalization Hypothesis
- 4 Violation of ETH
- 5 Classical and Quantum Scars
- 6 Scars in Quantum Many-body Hamiltonians
- 7 Quantum Dynamics with scars
- 8 Realization of states with broken Zn symmetries n=2,3,4 with Rydberg atoms
- 9 The dipole model
- 10 Effective dipole Hamiltonian
- 11 The model has a straightforward representation in terms of Ising spins
- 12 Periodic drive and Magnus expansion
- 13 We study a simple square pulse protocol
- 14 Analytical calculation of HF: Magnus expansion
- 15 Derivation of Ow Floquet Hamiltonian
- 16 Dynamics of the Correlation function
- 17 High frequency regime: Lambda/Omega 1
- 18 Intermediate frequency regime Lambda/Omega 01
- 19 Phase diagram for the periodically driven Rydberg chain
- 20 Noisy dynamics
- 21 Square pulses with random drive period
- 22 The leading term of the commutator C = [U+, U_] may vanish at special drive frequencies
- 23 Analytical prediction of regions where random drive would lead to coherent oscillations
- 24 Dynamics around Gamma ~ Pi
- 25 Noise induced coherent dynamics around dT/T=1/4, 3/4.
- 26 Dynamics around Gamma ~ 2Pi
- 27 Conclusion
- 28 Q&A
