Atomic Fermi Gas in the Trimerized Kagomé Lattice at<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>2</mml:mn><mml:mo>/</mml:mo><mml:mn>3</mml:mn></mml:math>Filling

Damski, Bogdan; Hu, Everts; Honecker, A.; Fehrmann, H.; Santos, Luís; Lewenstein, Maciej

doi:10.1103/physrevlett.95.060403

Cited by 148 publications

(282 citation statements)

References 23 publications

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“…The key assumption underlying the mechanism is that the evolution can be divided, for suitable ramping velocities, into three parts: a first adiabatic one, where the wave function of the system coincides with the ground state of H(t); a second impulsive, where the wave function of the system is practically frozen, due to the large relaxation time close to the critical point; a third adiabatic one, as the system is driven away from the critical point 23 . This division takes the name of adiabaticimpulse-adiabatic approximation 38 . What plays a role in this kind of mechanism is the correlation lengthξ at the times of passage between the different regimes, that can be seen to scale, for a linear quench of inverse velocity τ , as 22ξ…”

Section: F Kibble-zurek Physicsmentioning

confidence: 99%

Dynamics of entanglement entropy and entanglement spectrum crossing a quantum phase transition

et al. 2014

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We study the time evolution of entanglement entropy and entanglement spectrum in a finite-size system which crosses a quantum phase transition at different speeds. We focus on the transversefield Ising model with a time-dependent magnetic field, which is linearly tuned on a time scale τ . The time evolution of the entanglement entropy displays different regimes depending on the value of τ , showing also oscillations which depend on the instantaneous energy spectrum. The entanglement spectrum is characterized by a rich dynamics where multiple crossings take place with a gap-dependent frequency. Moreover, we investigate the Kibble-Zurek scaling of entanglement entropy and Schmidt gap.

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Section: F Kibble-zurek Physicsmentioning

confidence: 99%

Dynamics of entanglement entropy and entanglement spectrum crossing a quantum phase transition

et al. 2014

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“…(70) and the exponents θ and θ of the retarded and Keldysh Green's functions in Eq. (67). We will show that θ = θ , which is in contrast to the regime near classical phase transitions 12,81 and to the dynamics in an isolated, quantum system 83 .…”

Section: Quench From the Disordered Phasementioning

confidence: 96%

“…In the Kibble-Zurek description of such a parameter sweep through a critical point, the correlation length is assumed to remain constant at this freeze-out length scale for the remainder of the sweep 65,66 . It then follows that the number of (topological) excitations depends on the rate via a universal scaling law that solely contains equilibrium critical exponents [67][68][69][70][71] . Similarly, it follows that the long time approach to equilibrium of a system that is suddenly quenched close to a (quantum) critical point is governed by equilibrium exponents 72 .…”

Section: Introductionmentioning

confidence: 99%

Universal postquench coarsening and aging at a quantum critical point

2015

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The non-equilibrium dynamics of a system that is located in the vicinity of a quantum critical point is affected by the critical slowing down of order-parameter correlations with the potential for novel out-of-equilibrium universality. After a quantum quench, i.e. a sudden change of a parameter in the Hamiltonian such a system is expected to almost instantly fall out of equilibrium and undergo aging dynamics, i.e. dynamics that depends on the time passed since the quench. Investigating the quantum dynamics of a N -component ϕ 4 -model coupled to an external bath, we determine this universal aging and demonstrate that the system undergoes a coarsening, governed by a critical exponent that is unrelated to the equilibrium exponents of the system. We analyze this behavior in the large-N limit, which is complementary to our earlier renormalization group analysis, allowing in particular the direct investigation of the order-parameter dynamics in the symmetry broken phase and at the upper critical dimension. By connecting the long time limit of fluctuations and response, we introduce a distribution function that shows that the system remains non-thermal and exhibits quantum coherence even on long timescales.

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“…Equations (23) can be transformed into the form of LandauZener (LZ) model [28] (the connection between the KZM and the LZ model can be found in Ref. [29,30]) :…”

Section: Quench Dynamics Of Tqptmentioning

confidence: 99%

Quench dynamics of the topological quantum phase transition in the Wen-plaquette model

2011

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We study the quench dynamics of the topological quantum phase transition in the two-dimensional transverse Wen-plaquette model, which has a phase transition from a Z2 topologically ordered to a spin-polarized state. By mapping the Wen-plaquette model onto a one-dimensional quantum Ising model, we calculate the expectation value of the plaquette operator Fi during a slowly quenching process from a topologically ordered state. A logarithmic scaling law of quench dynamics near the quantum phase transition is found, which is analogous to the well-known static critical behavior of the specific heat in the one-dimensional quantum Ising model.

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Atomic Fermi Gas in the Trimerized Kagomé Lattice at2/3Filling

Cited by 148 publications

References 23 publications

Dynamics of entanglement entropy and entanglement spectrum crossing a quantum phase transition

Dynamics of entanglement entropy and entanglement spectrum crossing a quantum phase transition

Universal postquench coarsening and aging at a quantum critical point

Quench dynamics of the topological quantum phase transition in the Wen-plaquette model

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