Gouy phase and quantum interference with cross-Wigner functions for matter-waves

• URL: http://arxiv.org/abs/2401.00083v2
• Date: Wed, 29 May 2024 20:57:08 GMT
• Title: Gouy phase and quantum interference with cross-Wigner functions for matter-waves
• Authors: Lucas S. Marinho, Pedro R. Dieguez, Carlos H. S. Vieira, Irismar G. da Paz,
• Abstract summary: We analyze the evolution of matter waves initially characterized by a correlated Gaussian wave packet. We find that the cross-Wigner acquires a Gouy phase difference due to different evolution times. We propose a technique based on the Wigner function to reconstruct the cross-Wigner from the spatial intensity interference term.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The Gouy phase is essential for accurately describing various wave phenomena, ranging from classical electromagnetic waves to matter waves and quantum optics. In this work, we employ phase-space methods based on the cross-Wigner transformation to analyze spatial and temporal interference in the evolution of matter waves characterized initially by a correlated Gaussian wave packet. First, we consider the cross-Wigner of the initial function with its free evolution, and second for the evolution through a double-slit arrangement. Different from the wave function which acquires a global Gouy phase, we find that the cross-Wigner acquires a Gouy phase difference due to different evolution times. The results suggest that temporal like-Gouy phases are important for an accurate description of temporal interference. Furthermore, we propose a technique based on the Wigner function to reconstruct the cross-Wigner from the spatial intensity interference term in a double-slit experiment with matter waves.

Related papers

• A phase microscope for quantum gases [0.0]
  Coherence properties are central to quantum systems and are at the heart of phenomena such as superconductivity. We study coherence properties of an ultracold Bose gas in a two-dimensional optical lattice across the thermal phase transition.
  arXiv  Detail & Related papers  (2024-10-14T15:17:45Z)
• Quantal phase of extreme nonstatic light waves: Step-phase evolution and its effects [0.0]
  As a light wave becomes nonstatic, an additional phase, the so-called geometric phase, takes place in its evolution. As the wave becomes highly nonstatic, the phase factor of the electromagnetic wave evolves in a rectangular manner. The electromagnetic field in this case very much resembles that of a standing wave.
  arXiv  Detail & Related papers  (2024-07-05T13:32:19Z)
• Probing quantum floating phases in Rydberg atom arrays [61.242961328078245]
  We experimentally observe the emergence of the quantum floating phase in 92 neutral-atom qubits. The site-resolved measurement reveals the formation of domain walls within the commensurate ordered phase. As the experimental system sizes increase, we show that the wave vectors approach a continuum of values incommensurate with the lattice.
  arXiv  Detail & Related papers  (2024-01-16T03:26:36Z)
• Wigner function properties for electromagnetic systems [0.0]
  An exact 3D solution of the Schr"odinger equation for a scalar particle in an electromagnetic field is constructed. The search for two types of the Wigner functions is conducted. Knowing the Wigner functions allows one to find the distribution of the mean momentum vector field and the energy spectrum of the quantum system.
  arXiv  Detail & Related papers  (2023-08-24T07:23:23Z)
• Reconstructing the multiphoton spatial wave function with coincidence wavefront sensing [7.600005876710375]
  We introduce the coincidence wavefront sensing (CWS) method to reconstruct the phase of the multiphoton transverse spatial wave function. Numerical simulations of two-photon cases using the weak measurement wavefront sensor are performed to test its correctness.
  arXiv  Detail & Related papers  (2023-04-01T05:51:25Z)
• Variational waveguide QED simulators [58.720142291102135]
  Waveguide QED simulators are made by quantum emitters interacting with one-dimensional photonic band-gap materials. Here, we demonstrate how these interactions can be a resource to develop more efficient variational quantum algorithms.
  arXiv  Detail & Related papers  (2023-02-03T18:55:08Z)
• Geometric phases along quantum trajectories [58.720142291102135]
  We study the distribution function of geometric phases in monitored quantum systems. For the single trajectory exhibiting no quantum jumps, a topological transition in the phase acquired after a cycle. For the same parameters, the density matrix does not show any interference.
  arXiv  Detail & Related papers  (2023-01-10T22:05:18Z)
• Logarithmic catastrophes and Stokes's phenomenon in waves at horizons [0.0]
  waves propagating near an event horizon display interesting features including logarithmic phase singularities and caustics. We consider an acoustic horizon in a flowing Bose-Einstein condensate where the elementary excitations obey the Bogoliubov dispersion relation. We find that the horizon is a physical manifestation of a Stokes surface, marking the place where a wave is born.
  arXiv  Detail & Related papers  (2022-09-22T16:49:28Z)
• Wave manipulation via delay-engineered periodic potentials [55.41644538483948]
  We discuss the semi-classical transverse trapping of waves by means of an inhomogeneous gauge field. We show that, due to the Kapitza effect, an effective potential proportional to the square of the transverse derivative of the delay arises.
  arXiv  Detail & Related papers  (2022-07-27T11:45:32Z)
• Information transfer by quantum matterwave modulation [68.8204255655161]
  We show that matterwaves can be applied for information transfer and that their quantum nature provides a high level of security. Our technique allows transmitting a message by a non-trivial modulation of an electron matterwave in a biprism interferometer. We also present a key distribution protocol based on the quantum nature of the matterwaves that can reveal active eavesdropping.
  arXiv  Detail & Related papers  (2020-03-19T03:37:01Z)
• External and internal wave functions: de Broglie's double-solution theory? [77.34726150561087]
  We propose an interpretative framework for quantum mechanics corresponding to the specifications of Louis de Broglie's double-solution theory. The principle is to decompose the evolution of a quantum system into two wave functions. For Schr"odinger, the particles are extended and the square of the module of the (internal) wave function of an electron corresponds to the density of its charge in space.
  arXiv  Detail & Related papers  (2020-01-13T13:41:24Z)

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.