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f-Sum Rules for Dissipative Systems.

Xin-Xin Yang1,2, Bo-Hao Wu1,2, Yu Chen3

  • 1Department of Physics and Beijing Key Laboratory of Opto-electronic Functional Materials and Micro-nano Devices, <a href="https://ror.org/041pakw92">Renmin University of China</a>, Beijing 100872, China.

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|September 20, 2024
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This summary is machine-generated.

This study introduces new f-sum rules for dissipative quantum many-body systems, crucial for understanding spectroscopy in realistic, environment-coupled scenarios.

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Area of Science:

  • Quantum Many-Body Physics
  • Spectroscopy
  • Statistical Mechanics

Background:

  • F-sum rules provide fundamental constraints on quantum system responses to external probes.
  • Real quantum systems interact with their environment, leading to dissipation.
  • Existing f-sum rules do not account for these dissipative effects.

Purpose of the Study:

  • To derive and prove a novel set of f-sum rules applicable to dissipative quantum systems.
  • To extend the applicability of f-sum rules to more realistic physical scenarios.
  • To provide a theoretical framework for analyzing dissipative quantum many-body systems.

Main Methods:

  • Linear response theory was employed to analyze system behavior.
  • The system response was calculated to linear order in both the probe field and dissipation parameter.
  • New first-order and second-order dissipative f-sum rules were formulated and proven.

Main Results:

  • Successfully derived and proved one first-order and two second-order dissipative f-sum rules.
  • Validated the theoretical findings through numerical simulations on model systems.
  • Proposed practical schemes for realizing these dissipative f-sum rules.

Conclusions:

  • The developed f-sum rules offer essential constraints for dissipative quantum systems.
  • These rules are numerically validated and have proposed experimental realization schemes.
  • Potential applications in understanding interacting many-body systems are discussed.