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Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

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Enhanced TEMPO Algorithm for Quantum Path Integrals with Off-Diagonal System-Bath Coupling: Applications to Photonic

Marten Richter¹, Stephen Hughes²

¹Institut für Theoretische Physik, Nichtlineare Optik und Quantenelektronik, Technische Universität Berlin, Hardenbergstr. 36, EW 7-1, 10623 Berlin, Germany.

Physical Review Letters

|May 6, 2022

Summary

This study extends the enhanced time-evolving matrix product operator (eTEMPO) algorithm to model open quantum systems with complex interactions. The new method accurately simulates systems with off-diagonal coupling, crucial for quantum optics and material science.

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Area of Science:

Quantum physics
Quantum optics
Spectroscopy
Material science

Background:

Multitime system correlation functions are vital for understanding system-bath interactions in quantum systems.
Many quantum schemes involve off-diagonal system-bath interactions, posing a challenge for existing models.

Purpose of the Study:

To extend the enhanced time-evolving matrix product operator (eTEMPO) algorithm for quantum path integrals using tensor networks.
To apply this extended algorithm to open quantum systems with off-diagonal coupling beyond a single two-level system.

Main Methods:

Utilizing tensor networks and the enhanced time-evolving matrix product operator (eTEMPO) algorithm.
Developing a method to handle off-diagonal system-bath interactions in open quantum systems.
Exemplifying the approach on a coupled cavity waveguide system with spatially separated quantum emitters.

Main Results:

Successfully extended the eTEMPO algorithm to address complex open quantum systems.
Demonstrated the algorithm's capability on a specific coupled cavity waveguide system.
Validated the approach for systems with off-diagonal coupling beyond single two-level systems.

Conclusions:

The extended eTEMPO algorithm provides a powerful tool for simulating open quantum systems with off-diagonal coupling.
This advancement has broad applicability in areas like quantum optics, spectroscopy, and material science.
Enables more accurate modeling of realistic quantum phenomena including dissipation and entanglement.