5 papers
Variational Method in Quantum Field Theory
Arthur Hutsalyuk, Márton Lájer, Giuseppe Mussardo +1
We develop a variational framework for addressing two-dimensional non-integrable quantum field theories through the exact structure of their integrable counterparts. Concentrating…
Spectral Decimation of Quantum Many-Body Hamiltonians
Feng He, Arthur Hutsalyuk, Giuseppe Mussardo +1
We develop a systematic theory of spectral decimation for quantum many-body Hamiltonians and show that it provides a quantitative probe of emergent symmetries in statistically mixe…
Statistical Signatures of Integrable and Non-Integrable Quantum Hamiltonians
Feng He, Arthur Hutsalyuk, Giuseppe Mussardo +1
Integrability is a cornerstone of classical mechanics, where it has a precise meaning. Extending this notion to quantum systems, however, remains subtle and unresolved. In particul…
Achieving quantum advantage in a search for a violations of the Goldbach conjecture, with driven atoms in tailored potentials
Oleksandr V. Marchukov, Andrea Trombettoni, Giuseppe Mussardo +1
The famous Goldbach conjecture states that any even natural number greater than can be written as the sum of two prime numbers and . In th…
Quantum dynamics of atoms in number-theory-inspired potentials
D. Cassettari, O. V. Marchukov, B. Carruthers +8
In this paper we study transitions of atoms between energy levels of several number-theory-inspired atom potentials, under the effect of time-dependent perturbations. First, we sim…