6 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…
Reflection and Transmission Amplitudes in a Digital Quantum Simulation
Giuseppe Mussardo, Andrea Stampiggi, Andrea Trombettoni
In this paper we show how to measure in the setting of digital quantum simulations the reflection and transmission amplitudes of the one-dimensional scattering of a particle with a…