Alonso, Miguel Bliokh, Konstantin Y. Dennis, Mark R.

Geometric phases are a universal concept that underpins numerous phenomena involving multi-component wave fields. These polarization-dependent phases are inherent in interference effects, spin-orbit interaction phenomena, and topological properties of vector wave fields. Geometric phases have been thoroughly studied in two-component fields, such as...

Hatifi, Mohamed Di Molfetta, Giuseppe Debbasch, Fabrice Brachet, Marc
Published in
Scientific Reports

A simple Discrete-Time Quantum Walk (DTQW) on the line is revisited and given an hydrodynamic interpretation through a novel relativistic generalization of the Madelung transform. Numerical results show that suitable initial conditions indeed produce hydrodynamical shocks and that the coherence achieved in current experiments is robust enough to si...

Karnaukhov, Igor N.

A generalization of the Mattis-Nam model (J.Math.Phys., 13 (1972), 1185), which takes into account a correlated hopping and pairing of electrons, is proposed, its exact solution is obtained. In the framework of the model the stability of the zero energy Majorana fermions localized at the boundaries is studied in the chain in which electrons interac...

Weng, Yuanhang Huang, Jing Wang, Hong

We investigate the propagation of two-component vector solitons in the nonlocal nonlinear lattices with PT symmetry. We find and analyze the beat patterns of power evolution and gravity center evolution. The beat patterns are the result of the combined effect of PT symmetric potential and nonlocal nonlinearity. In particular, PT symmetry has been d...

Imaizumi, Takuya Matsumoto, Masataka Nakamura, Shin

We discover a new tricritical point realized only in non-equilibrium steady states, using the AdS/CFT correspondence. Our system is a (3+1)-dimensional strongly-coupled large-$N_{c}$ gauge theory. The tricritical point is associated with a chiral symmetry breaking under the presence of an electric current and a magnetic field. The critical exponent...

Bukva, Aleksandar Sabella-Garnier, Philippe Schalm, Koenraad

We study the characteristics of thermalizing and non-thermalizing operators in integrable theories as we turn on a non-integrable deformation. Specifically, we show that $\sigma^z$, an operator that thermalizes in the integrable transverse field Ising model, has mean matrix elements that resemble ETH, but with fluctuations around the mean that are ...

Schlosshauer, Maximilian

Quantum decoherence plays a pivotal role in the dynamical description of the quantum-to-classical transition and is the main impediment to the realization of devices for quantum information processing. This paper gives an overview of the theory and experimental observation of the decoherence mechanism. We introduce the essential concepts and the ma...

Barros, João C. Pinto Burrello, Michele Trombettoni, Andrea

We discuss and review in this chapter the developing field of research of quantum simulation of gauge theories with ultracold atoms.

Nguyen, Nga T.T. Kenyon, Garrett T. Yoon, Boram

We propose a regression algorithm that utilizes a learned dictionary optimized for sparse inference on D-Wave quantum annealer. In this regression algorithm, we concatenate the independent and dependent variables as an combined vector, and encode the high-order correlations between them into a dictionary optimized for sparse reconstruction. On a te...

Nguyen, T.K.T. Kiselev, M.N.

We investigate theoretically the thermoelectric transport through a circuit implementation of a quantum simulator of the three-channel Kondo model [Z. Iftikhar et al., Science 360, 1315 (2018)]. The universal temperature scaling law of the Seebeck coefficient is computed perturbatively at the non-Fermi liquid strong coupling fixed point using boson...