Rigorous proof that random half-chain initial states in a low-density free-fermion model thermalize, with local particle counts matching equilibrium at long times with high probability.
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Quantum commutation relations for charge and flux in superconducting resonators emerge from third quantization of the local superconducting order parameter derived from the BCS Hamiltonian.
Lasers influence alpha decay, proton radioactivity, and nuclear excitations in isotopes such as 229Th, 83Kr, and 45Sc through methods including the time-dependent Schrödinger equation and Fermi's golden rule.
Krylov subspace methods efficiently describe quantum evolution, operator growth, and chaos in many-body systems, with metrics like Krylov complexity and applications in open systems, QFT, and quantum computing.
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Nature abhors a vacuum: A simple rigorous example of thermalization in an isolated macroscopic quantum system
Rigorous proof that random half-chain initial states in a low-density free-fermion model thermalize, with local particle counts matching equilibrium at long times with high probability.
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Third Quantization for Order Parameters (II): Local Field Quantization in Superconducting Quantum Circuits
Quantum commutation relations for charge and flux in superconducting resonators emerge from third quantization of the local superconducting order parameter derived from the BCS Hamiltonian.
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Advances in laser-assisted nuclear decay and nuclear excitation
Lasers influence alpha decay, proton radioactivity, and nuclear excitations in isotopes such as 229Th, 83Kr, and 45Sc through methods including the time-dependent Schrödinger equation and Fermi's golden rule.
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Quantum Dynamics in Krylov Space: Methods and Applications
Krylov subspace methods efficiently describe quantum evolution, operator growth, and chaos in many-body systems, with metrics like Krylov complexity and applications in open systems, QFT, and quantum computing.