scholarly journals Scheme to Measure the Topological Number of a Chern Insulator from Quench Dynamics

2017 ◽  
Vol 118 (18) ◽  
Author(s):  
Ce Wang ◽  
Pengfei Zhang ◽  
Xin Chen ◽  
Jinlong Yu ◽  
Hui Zhai
Keyword(s):  
Quench Dynamics ◽  
Topological Number

scholarly journals More on complex Sachdev-Ye-Kitaev eternal wormholes

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Pengfei Zhang
Keyword(s):  
Black Hole ◽  
Ground State ◽  
Effective Action ◽  
Chemical Potential ◽  
Specific Charge ◽  
Zero Temperature ◽  
Small Coupling ◽  
Chemical Potentials ◽  
Quench Dynamics ◽  
Two Sides

Abstract In this work, we study a generalization of the coupled Sachdev-Ye-Kitaev (SYK) model with U(1) charge conservations. The model contains two copies of the complex SYK model at different chemical potentials, coupled by a direct hopping term. In the zero-temperature and small coupling limit with small averaged chemical potential, the ground state is an eternal wormhole connecting two sides, with a specific charge Q = 0, which is equivalent to a thermofield double state. We derive the conformal Green’s functions and determine corresponding IR parameters. At higher chemical potential, the system transit into the black hole phase. We further derive the Schwarzian effective action and study its quench dynamics. Finally, we compare numerical results with the analytical predictions.

scholarly journals Interacting bosonic flux ladders with a synthetic dimension: Ground-state phases and quantum quench dynamics

2020 ◽  
Vol 102 (5) ◽  
Author(s):  
Maximilian Buser ◽  
Claudius Hubig ◽  
Ulrich Schollwöck ◽  
Leticia Tarruell ◽  
Fabian Heidrich-Meisner
Keyword(s):  
Ground State ◽  
Quantum Quench ◽  
Quench Dynamics ◽  
Ground State Phases

scholarly journals Probing non-Hermitian phase transitions in curved space via quench dynamics

2021 ◽  
Vol 103 (15) ◽  
Author(s):  
Ygor Pará ◽  
Giandomenico Palumbo ◽  
Tommaso Macrì
Keyword(s):  
Phase Transitions ◽  
Curved Space ◽  
Quench Dynamics

scholarly journals Quench Dynamics of a Fermi Gas with Strong Nonlocal Interactions

2021 ◽  
Vol 11 (2) ◽  
Author(s):  
Elmer Guardado-Sanchez ◽  
Benjamin M. Spar ◽  
Peter Schauss ◽  
Ron Belyansky ◽  
Jeremy T. Young ◽  
...  
Keyword(s):  
Fermi Gas ◽  
Nonlocal Interactions ◽  
Quench Dynamics

scholarly journals Magnetic properties and quench dynamics of two interacting ultracold molecules in a trap

2020 ◽  
Vol 22 (48) ◽  
pp. 28140-28153
Author(s):  
Anna Dawid ◽  
Michał Tomza
Keyword(s):  
Magnetic Properties ◽  
Internal Structure ◽  
Nonequilibrium Dynamics ◽  
External Fields ◽  
Ultracold Molecules ◽  
Quench Dynamics

The interplay of external fields and internal structure of two interacting ultracold trapped molecules produces rich magnetization diagrams and nonequilibrium dynamics.

scholarly journals Information dynamics in a model with Hilbert space fragmentation

2021 ◽  
Vol 11 (4) ◽  
Author(s):  
Dominik Hahn ◽  
Paul A. McClarty ◽  
David J. Luitz
Keyword(s):  
Hilbert Space ◽  
Entanglement Entropy ◽  
Long Distance ◽  
Information Dynamics ◽  
Geometrically Frustrated ◽  
Equilibrium Dynamics ◽  
Maximum Value ◽  
Far From Equilibrium ◽  
Quench Dynamics ◽  
Frustrated Spin

The fully frustrated ladder – a quasi-1D geometrically frustrated spin one half Heisenberg model – is non-integrable with local conserved quantities on rungs of the ladder, inducing the local fragmentation of the Hilbert space into sectors composed of singlets and triplets on rungs. We explore the far-from-equilibrium dynamics of this model through the entanglement entropy and out-of-time-ordered correlators (OTOC). The post-quench dynamics of the entanglement entropy is highly anomalous as it shows clear non-damped revivals that emerge from short connected chunks of triplets. We find that the maximum value of the entropy follows from a picture where coherences between different fragments co-exist with perfect thermalization within each fragment. This means that the eigenstate thermalization hypothesis holds within all sufficiently large Hilbert space fragments. The OTOC shows short distance oscillations arising from short coupled fragments, which become decoherent at longer distances, and a sub-ballistic spreading and long distance exponential decay stemming from an emergent length scale tied to fragmentation.

scholarly journals Topological holographic quench dynamics in a synthetic frequency dimension

2021 ◽  
Vol 10 (1) ◽  
Author(s):  
Danying Yu ◽  
Bo Peng ◽  
Xianfeng Chen ◽  
Xiong-Jun Liu ◽  
Luqi Yuan
Keyword(s):  
Quantum Dynamics ◽  
Dimensional Space ◽  
Dynamical Evolution ◽  
Spin Model ◽  
Ring Resonators ◽  
Nonequilibrium Dynamics ◽  
Topological Phases ◽  
Time Dimension ◽  
Efficient Scheme ◽  
Quench Dynamics

AbstractThe notion of topological phases extended to dynamical systems stimulates extensive studies, of which the characterization of nonequilibrium topological invariants is a central issue and usually necessitates the information of quantum dynamics in both the time and momentum dimensions. Here, we propose the topological holographic quench dynamics in synthetic dimension, and also show it provides a highly efficient scheme to characterize photonic topological phases. A pseudospin model is constructed with ring resonators in a synthetic lattice formed by frequencies of light, and the quench dynamics is induced by initializing a trivial state, which evolves under a topological Hamiltonian. Our key prediction is that the complete topological information of the Hamiltonian is encoded in quench dynamics solely in the time dimension, and is further mapped to lower-dimensional space, manifesting the holographic features of the dynamics. In particular, two fundamental time scales emerge in the dynamical evolution, with one mimicking the topological band on the momentum dimension and the other characterizing the residue time evolution of the state after the quench. For this, a universal duality between the quench dynamics and the equilibrium topological phase of the spin model is obtained in the time dimension by extracting information from the field evolution dynamics in modulated ring systems in simulations. This work also shows that the photonic synthetic frequency dimension provides an efficient and powerful way to explore the topological nonequilibrium dynamics.

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