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Daniel Gruss1,2,3, Chih-Chun Chien4, Julio T Barreiro5

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We introduce a new method to measure the local density of states (LDOS) in atomic systems, offering both spatial and energy details. This technique uses atomic and tunneling approaches for quantitative LDOS analysis in various systems.

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Area of Science:

  • Atomic Physics
  • Condensed Matter Physics
  • Quantum Simulation

Background:

  • Understanding the local density of states (LDOS) is crucial for characterizing quantum systems.
  • Current methods often lack combined spatial and energy resolution.
  • Interacting and inhomogeneous atomic systems present significant challenges for LDOS probing.

Purpose of the Study:

  • To propose a novel method for probing the local density of states (LDOS) with high spatial and energy resolution.
  • To provide a quantitative and operational definition of LDOS applicable to both interacting and non-interacting systems.
  • To establish ultracold atoms in optical lattices as a platform for visualizing LDOS.

Main Methods:

  • Combining atomic and tunneling techniques to define LDOS.
  • Defining LDOS as the rate of particle transfer to a narrow band of non-interacting states.
  • Utilizing ultracold atoms in optical lattices for experimental implementation.

Main Results:

  • Demonstration of a method providing simultaneous spatial and energy resolution for LDOS.
  • A unified definition of LDOS applicable to diverse quantum systems.
  • Visualization of energy and spatial dependence of atom density in optical lattices.

Conclusions:

  • The proposed method offers a powerful new tool for investigating quantum many-body systems.
  • Ultracold atoms in optical lattices are well-suited for implementing and visualizing LDOS.
  • This approach facilitates the study of strongly correlated and topologically non-trivial systems.