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Sparse optimization of two-dimensional terahertz spectroscopy

Wang, Z. ; Da, H. ; Disa, A. S. ; Pullerits, T. LU ; Liu, A. and Schlawin, F. (2025) In APL Photonics 10(9).
Abstract

Two-dimensional terahertz spectroscopy (2DTS) is a low-frequency analog of two-dimensional optical spectroscopy that is rapidly maturing as a probe of a wide variety of condensed matter systems. However, a persistent problem with 2DTS is the long experimental acquisition times, which prevent its broader adoption. A potential solution, requiring no increase in experimental complexity, is signal reconstruction via compressive sensing. In this work, we apply the sparse exponential mode analysis (SEMA) technique to 2DTS of a cuprate superconductor. We benchmark the performance of the algorithm in reconstructing terahertz nonlinearities and find that SEMA reproduces the asymmetric photon echo line shapes at sampling rates as low as 10%,... (More)

Two-dimensional terahertz spectroscopy (2DTS) is a low-frequency analog of two-dimensional optical spectroscopy that is rapidly maturing as a probe of a wide variety of condensed matter systems. However, a persistent problem with 2DTS is the long experimental acquisition times, which prevent its broader adoption. A potential solution, requiring no increase in experimental complexity, is signal reconstruction via compressive sensing. In this work, we apply the sparse exponential mode analysis (SEMA) technique to 2DTS of a cuprate superconductor. We benchmark the performance of the algorithm in reconstructing terahertz nonlinearities and find that SEMA reproduces the asymmetric photon echo line shapes at sampling rates as low as 10%, reaching the reconstruction noise floor at sampling rates beyond 20%-30%. The success of SEMA in reproducing such subtle, asymmetric line shapes confirms compressive sensing as a general method to accelerate 2DTS and multidimensional spectroscopies more broadly.

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organization
publishing date
type
Contribution to journal
publication status
published
subject
in
APL Photonics
volume
10
issue
9
article number
096107
publisher
American Institute of Physics (AIP)
external identifiers
  • scopus:105015424684
ISSN
2378-0967
DOI
10.1063/5.0276901
language
English
LU publication?
yes
id
be9457bd-a6ce-4a61-b10b-c5f6141c39b2
date added to LUP
2025-10-15 16:04:51
date last changed
2025-10-15 16:05:52
@article{be9457bd-a6ce-4a61-b10b-c5f6141c39b2,
  abstract     = {{<p>Two-dimensional terahertz spectroscopy (2DTS) is a low-frequency analog of two-dimensional optical spectroscopy that is rapidly maturing as a probe of a wide variety of condensed matter systems. However, a persistent problem with 2DTS is the long experimental acquisition times, which prevent its broader adoption. A potential solution, requiring no increase in experimental complexity, is signal reconstruction via compressive sensing. In this work, we apply the sparse exponential mode analysis (SEMA) technique to 2DTS of a cuprate superconductor. We benchmark the performance of the algorithm in reconstructing terahertz nonlinearities and find that SEMA reproduces the asymmetric photon echo line shapes at sampling rates as low as 10%, reaching the reconstruction noise floor at sampling rates beyond 20%-30%. The success of SEMA in reproducing such subtle, asymmetric line shapes confirms compressive sensing as a general method to accelerate 2DTS and multidimensional spectroscopies more broadly.</p>}},
  author       = {{Wang, Z. and Da, H. and Disa, A. S. and Pullerits, T. and Liu, A. and Schlawin, F.}},
  issn         = {{2378-0967}},
  language     = {{eng}},
  number       = {{9}},
  publisher    = {{American Institute of Physics (AIP)}},
  series       = {{APL Photonics}},
  title        = {{Sparse optimization of two-dimensional terahertz spectroscopy}},
  url          = {{http://dx.doi.org/10.1063/5.0276901}},
  doi          = {{10.1063/5.0276901}},
  volume       = {{10}},
  year         = {{2025}},
}