Phase-retrieval from Bohm's equations

Autor(es)

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

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: EUROPEAN PHYSICAL JOURNAL PLUS; v. 135, n. 12 DEC 1 2020.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 18/00796-3 - Processamento de Informação Quântica sob os Auspícios do Formalismo da Matriz de Espalhamento
• Beneficiário: Reginaldo de Jesus Napolitano
• Modalidade de apoio: Auxílio à Pesquisa - Regular