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Updated: Nov 6, 2025

Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
High-order harmonic generation by static coherent states method in single-electron atomic and molecular systems.
Mohammadreza Eidi1, Mohsen Vafaee2, Hamed Koochaki Kelardeh1
1Max Planck Institute for the Physics of Complex Systems, Dresden, Germany.
We introduce the static coherent states (SCS) method for simulating high harmonic generation (HHG) in quantum systems. This approach accurately models complex molecular interactions with laser fields, enabling precise attosecond pulse generation.
Area of Science:
- Quantum mechanics
- Atomic and molecular physics
- Laser physics
Background:
- High harmonic generation (HHG) is a crucial process for generating ultrashort light pulses.
- Accurate quantum simulations are needed to understand HHG in realistic molecular systems.
- The time-dependent Schrodinger equation is the fundamental equation governing quantum dynamics.
Purpose of the Study:
- To develop and apply the static coherent states (SCS) method for simulating HHG.
- To investigate HHG in the hydrogen molecular ion using SCS.
- To explore isolated attosecond pulse generation using SCS and polarization gating.
Main Methods:
- Solving the time-dependent Schrodinger equation using coherent states as basis sets.
- Applying the static coherent states (SCS) method to a full-dimensional single-electron system.
- Utilizing the polarization gating technique with counter-rotating circular laser pulses.
Main Results:
- The SCS method shows reasonable agreement with the 3D unitary split-operator approach for HHG in the hydrogen molecular ion.
- The study demonstrates the potential for isolated attosecond pulse generation using SCS.
- SCS is validated as a viable method for full-dimensional quantum simulations of molecular systems interacting with laser fields.
Conclusions:
- The static coherent states (SCS) method is a reliable tool for simulating high harmonic generation.
- SCS can be effectively used for generating isolated attosecond pulses.
- The SCS method offers a pathway for accurate quantum simulations of complex molecular systems in laser fields.
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