Factorization with a logarithmic energy spectrum of a central potential

• URL: http://arxiv.org/abs/2202.08092v1
• Date: Wed, 16 Feb 2022 14:25:33 GMT
• Title: Factorization with a logarithmic energy spectrum of a central potential
• Authors: Ferdinand Gleisberg (1) and Wolfgang P. Schleich (1 and 2) ((1) Institut f\"ur Quantenphysik, Universit\"at Ulm, Germany, (2) Hagler Institute and Institute for Quantum Studies and Engineering, Texas A \& M University, USA)
• Abstract summary: We propose a method to factor numbers based on two interacting bosonic atoms in a central potential where the single-particle spectrum depends logarithmically on the radial quantum numbers of the zero angular momentum states.
• Score: 19.091601102091875
• License: http://creativecommons.org/publicdomain/zero/1.0/
• Abstract: We propose a method to factor numbers based on two interacting bosonic atoms in a central potential where the single-particle spectrum depends logarithmically on the radial quantum numbers of the zero angular momentum states. The bosons initially prepared in the ground state are excited by a sinusoidally time-dependent interaction into a state characterized by the quantum numbers which represent the factors of a number encoded in the frequency of the perturbation. We also discuss the full single-particle spectrum and limitations of our method caused by decoherence.

Related papers

• Quantum dynamics of atoms in number-theory-inspired potentials [0.0]
  We study transitions of atoms between energy levels of several number-theory-inspired atom potentials. We find that a one-body trap with a log-natural spectrum, parametrically driven with a perturbation of a log-natural frequency, provides such a quantum system.
  arXiv  Detail & Related papers  (2024-10-17T19:39:15Z)
• Rotating quantum droplets confined in a harmonic potential [0.0]
  We investigate the rotational properties of a two-component, two-dimensional self-bound quantum droplet. We compare them with the well-known problem of a single-component atomic gas with contact interactions.
  arXiv  Detail & Related papers  (2023-05-16T13:27:01Z)
• Hyperspherical cluster model for bosons: application to sub-threshold halo states in helium drops [0.0]
  In the first excited state one helium atom stays far apart from the rest forming a two-body molecule or a halo. The probability of finding the halo atom in the classically-forbidden region of space depends on the definition of the latter and on the number of atoms in the drop. The total norm of the overlap integrals, the spectroscopic factor, represents the number of partitions of a many-body state into a chosen state of the system with one particle removed.
  arXiv  Detail & Related papers  (2023-04-13T17:18:50Z)
• Measurement phase transitions in the no-click limit as quantum phase transitions of a non-hermitean vacuum [77.34726150561087]
  We study phase transitions occurring in the stationary state of the dynamics of integrable many-body non-Hermitian Hamiltonians. We observe that the entanglement phase transitions occurring in the stationary state have the same nature as that occurring in the vacuum of the non-hermitian Hamiltonian.
  arXiv  Detail & Related papers  (2023-01-18T09:26:02Z)
• Correlated steady states and Raman lasing in continuously pumped and probed atomic ensembles [68.8204255655161]
  We consider an ensemble of Alkali atoms that are continuously optically pumped and probed. Due to the collective scattering of photons at large optical depth, the steady state of atoms does not correspond to an uncorrelated tensor-product state. We find and characterize regimes of Raman lasing, akin to the model of a superradiant laser.
  arXiv  Detail & Related papers  (2022-05-10T06:54:54Z)
• Quantum time dilation in a gravitational field [39.58317527488534]
  We investigate how the superposition principle affects the gravitational time dilation observed by a simple clock. We show that the emission rate of an atom prepared in a coherent superposition of separated wave packets in a gravitational field is different from the emission rate of an atom in a classical mixture of these packets.
  arXiv  Detail & Related papers  (2022-04-22T10:02:21Z)
• Dimerization of many-body subradiant states in waveguide quantum electrodynamics [137.6408511310322]
  We study theoretically subradiant states in the array of atoms coupled to photons propagating in a one-dimensional waveguide. We introduce a generalized many-body entropy of entanglement based on exact numerical diagonalization. We reveal the breakdown of fermionized subradiant states with increase of $f$ with emergence of short-ranged dimerized antiferromagnetic correlations.
  arXiv  Detail & Related papers  (2021-06-17T12:17:04Z)
• Coherence of resonant light-matter interaction in the strong-coupling limit [0.0]
  We derive analytical expressions for the spectrum and the intensity correlation function for photons scattered by the two-state atom coupled to the coherently driven cavity mode. We increase the driving field amplitude and approach the critical point organizing a second-order dissipative quantum phase transition.
  arXiv  Detail & Related papers  (2021-05-27T13:17:28Z)
• Quantum particle across Grushin singularity [77.34726150561087]
  We study the phenomenon of transmission across the singularity that separates the two half-cylinders. All the local realisations of the free (Laplace-Beltrami) quantum Hamiltonian are examined as non-equivalent protocols of transmission/reflection. This allows to comprehend the distinguished status of the so-called bridging' transmission protocol previously identified in the literature.
  arXiv  Detail & Related papers  (2020-11-27T12:53:23Z)
• Resonant particle creation by a time-dependent potential in a nonlocal theory [0.0]
  We consider an exactly solvable local quantum theory of a scalar field interacting with a $delta$-shaped time-dependent potential. We show how these considerations, when suitably generalized to a specific nonlocal "infinite-derivative" quantum theory, are impacted by the presence of nonlocality.
  arXiv  Detail & Related papers  (2020-11-25T18:24:30Z)
• Exploring 2D synthetic quantum Hall physics with a quasi-periodically driven qubit [58.720142291102135]
  Quasi-periodically driven quantum systems are predicted to exhibit quantized topological properties. We experimentally study a synthetic quantum Hall effect with a two-tone drive.
  arXiv  Detail & Related papers  (2020-04-07T15:00:41Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.