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
Description:
Explore the fascinating world of quantum scars and their Floquet engineering in this 36-minute conference talk. Delve into the Eigenstate Thermalization Hypothesis and its violations, examining both classical and quantum scars in many-body Hamiltonians. Learn about the dipole model and its representation in terms of Ising spins, and discover how periodic driving and Magnus expansion can be applied to study quantum dynamics. Investigate the effects of noise on these systems, including random drive periods and their impact on coherent oscillations. Gain insights into the phase diagram of periodically driven Rydberg chains and the analytical predictions for coherent dynamics under random drive conditions. Conclude with a comprehensive overview of the field and participate in a Q&A session to deepen your understanding of this cutting-edge research in quantum physics.
Floquet Engineering of Quantum Scars by Krishnendu Sengupta