POLI , Charles

In the field of Wave Chaos, statistics of ideal closed systems are nowadays well understood. However, much less is known for open systems, namely for systems those coupling to environ- ment cannot be neglected anymore. Applying the Random Matrix Theory to the formalism of the effective Hamiltonian, spectral and spatial statistics of open...

In this letter, we demonstrate that a non-Hermitian Random Matrix description can account for both spectral and spatial statistics of resonance states in a weakly open chaotic wave system with continuously distributed losses. More specifically, the statistics of resonance states in an open 2D chaotic microwave cavity are investigated by solving...

In this letter, we demonstrate that a non-Hermitian Random Matrix description can account for both spectral and spatial statistics of resonance states in a weakly open chaotic wave system with continuously distributed losses. More specifically, the statistics of resonance states in an open 2D chaotic microwave cavity are investigated by solving...

We investigate the statistical properties of the complexness parameter which characterizes uniquely complexness (biorthogonality) of resonance eigenstates of open chaotic systems. Specifying to the regime of isolated resonances, we apply the random matrix theory to the effective Hamiltonian formalism and derive analytically the probability...

Using an array of coupled microwave resonators arranged in a deformed honeycomb lattice, we experimentally observe the formation of pseudo-Landau levels in the whole crossover from vanishing to large pseudomagnetic field strength. This is achieved by utilizing an adaptable setup in a geometry that is compatible with the pseudo-Landau levels at...

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We report non-invasive measurements of the complex field of elastic quasimodes of a silicon wafer with chaotic shape. The amplitude and phase spatial distribution of the flexural modes are directly obtained by Fourier transform of time measurements. We investigate the crossover from real mode to complex-valued quasimode, when absorption is...

The recent realization of topological phases in insulators and superconductors has raised the prospects to advance robust quantum technologies. The desire to demonstrate the underlying topological features with a high level of control has given incentive to explore optical platforms for analogous realizations. Here we show that the...

We investigate a two-level model with a large number of open decay channels in order to describe avoided level crossing statistics in open chaotic billiards. This model allows us to describe the fundamental changes of the probability distribution of the avoided level crossings compared with the closed case. Explicit expressions are derived for...

Bipartite quantum systems from the chiral universality classes admit topologically protected zero modes at point defects. However, in two-dimensional systems these states can be difficult to separate from compacton-like localized states that arise from flat bands, formed if the two sublattices support a different number of sites within a unit...

Any measurement opens a wave system. This coupling to the continuum drastically changes the system properties by converting discrete modes into decaying resonance states and induces currents that did not exist in the closed system. One possible description is the effective Hamiltonian formalism. As a consequence, typical quantities investigated...

Any measurement opens a wave system. This coupling to the continuum drastically changes the system properties by converting discrete modes into decaying resonance states and induces currents that did not exist in the closed system. One possible description is the effective Hamiltonian formalism. As a consequence, typical quantities investigated...