24494139bd654b73f7d6b1f576b2daec  pmc_33808161.pdf
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cf3e4184aa05d66806ede3469c83a88134b443cb245a4f26791589672108d87c  pmc_33808161.pdf

Title:          Scattering in Terms of Bohmian Conditional Wave Functions for Scenarios with Non-Commuting Energy and Momentum Operators
Subject:        Without access to the full quantum state, modeling quantum transport in mesoscopic systems requires dealing with a limited number of degrees of freedom. In this work, we analyze the possibility of modeling the perturbation induced by non-simulated degrees of freedom on the simulated ones as a transition between single-particle pure states. First, we show that Bohmian conditional wave functions (BCWFs) allow for a rigorous discussion of the dynamics of electrons inside open quantum systems in terms of single-particle time-dependent pure states, either under Markovian or non-Markovian conditions. Second, we discuss the practical application of the method for modeling light–matter interaction phenomena in a resonant tunneling device, where a single photon interacts with a single electron. Third, we emphasize the importance of interpreting such a scattering mechanism as a transition between initial and final single-particle BCWF with well-defined central energies (rather than with well-defined central momenta).
Keywords:       quantum dissipation; Bohmian mechanics; collision; conditional wave function; decoherence; open systems; many-body problem
Author:         Firstname Lastname, Firstname Lastname and Firstname Lastname
Creator:        LaTeX with hyperref
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Jhove (Rel. 1.22.1, 2019-04-17)
 Date: 2023-05-27 02:47:22 CEST
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     Item: 
      Title: Introduction
      Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@12f41634
     Item: 
      Title: Is It Possible to Model an Open System in Terms of Single-Particle Pure States?
      Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@13c27452
     Item: 
      Title: How Do We Select the Single-Particle Pure States Before and after the Collision?
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       Item: 
        Title: Exact Solution in a Closed System
        Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@371a67ec
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      Title: Implementation of the Transition from Pre- to Post-Selected BCWF
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        Title: Model A: Change in the Central Energy
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      Title: Numerical Results
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        Title: Collisions in Flat Potentials
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        Title: Collisions in Arbitrary Potentials
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      Title: Conclusions
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     Item: 
      Title: References
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    Title: Scattering in Terms of Bohmian Conditional Wave Functions for Scenarios with Non-Commuting Energy and Momentum Operators
    Author: Firstname Lastname, Firstname Lastname and Firstname Lastname
    Subject: Without access to the full quantum state, modeling quantum transport in mesoscopic systems requires dealing with a limited number of degrees of freedom. In this work, we analyze the possibility of modeling the perturbation induced by non-simulated degrees of freedom on the simulated ones as a transition between single-particle pure states. First, we show that Bohmian conditional wave functions (BCWFs) allow for a rigorous discussion of the dynamics of electrons inside open quantum systems in terms of single-particle time-dependent pure states, either under Markovian or non-Markovian conditions. Second, we discuss the practical application of the method for modeling light matter interaction phenomena in a resonant tunneling device, where a single photon interacts with a single electron. Third, we emphasize the importance of interpreting such a scattering mechanism as a transition between initial and final single-particle BCWF with well-defined central energies (rather than with well-defined central momenta).
    Keywords: quantum dissipation; Bohmian mechanics; collision; conditional wave function; decoherence; open systems; many-body problem
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   Type: CRC32
  Checksum: 24494139bd654b73f7d6b1f576b2daec
   Type: MD5
  Checksum: ced74363874e2153041fa7c66d4b9bc2eeb0bd16
   Type: SHA-1