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Dynamical quantum Hall effect in the parameter space
This work shows how one can observe the Berry curvature, and hence the Berry phase, in generic systems as a nonadiabatic response of physical observables to the rate of change of an external parameter, and observes the quantization of this response, which is termed the rotational quantum Hall effect.
Crystallization of strongly interacting photons in a nonlinear optical fibre
Understanding strongly correlated quantum systems is a central problem in many areas of physics. The collective behaviour of interacting particles gives rise to diverse fundamental phenomena such as
Relaxation of antiferromagnetic order in spin-1/2 chains following a quantum quench.
This analysis indicates that the antiferromagnetic order imprinted in the initial state vanishes exponentially and the corresponding relaxation time exhibits a minimum at the critical point, in contrast to the usual notion of critical slowing down, from which a maximum is expected.
Quench dynamics near a quantum critical point
We study the dynamical response of a system to a sudden change of the tuning parameter $\ensuremath{\lambda}$ starting (or ending) at the quantum critical point. In particular, we analyze the scaling
Breakdown of the adiabatic limit in low-dimensional gapless systems
When a thermodynamic system is changed sufficiently slowly, entropy is generally conserved and the process is adiabatic, and therefore reversible. However, this adiabaticity does not seem to hold for
Quantum quenches in the anisotropic spin-\frac{1}{2} Heisenberg chain: different approaches to many-body dynamics far from equilibrium
Recent experimental achievements in controlling ultracold gases in optical lattices open a new perspective on quantum many-body physics. In these experimental setups, it is possible to study coherent
Classifying and measuring geometry of a quantum ground state manifold
From the Aharonov-Bohm effect to general relativity, geometry plays a central role in modern physics. In quantum mechanics, many physical processes depend on the Berry curvature. However, recent
Probing quantum and thermal noise in an interacting many-body system
The probabilistic character of the measurement process is one of the most puzzling and fascinating aspects of quantum mechanics. In many-body systems quantum-mechanical noise reveals non-local
Fundamental noise in matter interferometers
These lecture notes discuss two effects which contribute to the reduction of the interference fringe contrast in matter interferometers. The first effect is the shot noise arising from a finite
Full quantum distribution of contrast in interference experiments between interacting one-dimensional Bose liquids
The existence of quantum noise is the most direct evidence for the probabilistic nature of quantum mechanics. In strongly interacting systems we expect quantum noise to reveal non-local correlations