Phase-retrieval from Bohm's equations

Author(s)

Brasil, Carlos Alexandre ^{[1, 2]} ; Moussa, Miled Hassan Youssef ^[1] ; Napolitano, Reginaldo de Jesus ^[1]

Affiliation

^[1] Univ Sao Paulo, Sao Carlos Inst Phys IFSC, POB 369, BR-13560970 Sao Carlos, SP - Brazil

^[2] Fed Univ Technol Parana UTFPR, Dept Acad Ciencias Nat DACIN, Campus Cornelio Procopio CP, Ave Alberto Carazzai, BR-86300000 Cornelio Procopio, PR - Brazil

• Document type: Journal article
• Source: EUROPEAN PHYSICAL JOURNAL PLUS; v. 135, n. 12 DEC 1 2020.
• Web of Science Citations: 0

Abstract

We present an analytic method, based on the Bohmian equations for quantum mechanics, for approaching the phase-retrieval problem in the following formulation: by knowing the probability density <mml:mfenced close={''}|{''} open={''}|{''}>psi <mml:mfenced close={''}){''} open={''}({''}>r -></mml:mover>,t</mml:mfenced></mml:mfenced>2 and the energy potential V<mml:mfenced close={''}){''} open={''}({''}>r -></mml:mover>,t</mml:mfenced> of a system, how can one determine the complex state psi <mml:mfenced close={''}){''} open={''}({''}><mml:mover accent={''}true{''}>r<mml:mo stretchy={''}false{''}>-></mml:mover><mml:mo>,t</mml:mfenced>? We illustrate our method with three classic examples involving Gaussian states, suggesting applications to quantum state and Hamiltonian engineering. (AU)

• FAPESP's process: 18/00796-3 - Quantum-information processing under the auspices of the scattering-matrix formalism
• Grantee: Reginaldo de Jesus Napolitano
• Support Opportunities: Regular Research Grants