In this talk, we extend the Variational Quantum Eigensolver (VQE) approach to improve the estimate of the ground state of a quantum system by minimizing the expectation value of a target Hamiltonian on a k-frame—a set of k linearly independent orthonormal states—that define a k-dimensional subspace within the full Hilbert space. This search is then supplemented by an exact diagonalization in...
Hydrodynamics is the effective field theory description of many-body systems close to thermal equilibrium at large distances and late times. The dynamics of these systems are governed by the conservation of energy, momentum and charge. However, in certain cases, e.g., when spatial translation invariance is broken, these hydrodynamic currents decay slowly rather than remain conserved,...
Fracton phases of matter constitute an interesting point of contact between condensed matter and high-energy physics. The limited mobility of subdimensional quasiparticles finds applications in different areas of theoretical physics, including quantum information, quantum field theory, elasticity, hydrodynamics and gravity. In our works we adopt a field theoretical approach to investigate...
Active Particles are physical entities able to transform energy from the environment or internal reservoirs into directed self-propelled motion. From a theoretical standpoint, in recent years this class of systems generated great interest in statistical mechanics due to the display of intriguing new properties as motility-induced phase separation [1], an inherent out of equilibrium character...
Active Brownian Particles (ABPs) are known to exhibit rich non-equilibrium behaviors.
The phase diagram shows two phase transitions: from a liquid state to a hexatic state, characterized by quasi-long-range orientational order and short-range translational order, and, at decreasing density, from a hexatic state to a solid state, where both orientational and translational order are...