Geometric TDDFT reformulates the theory on the manifold of fixed-density states, producing a hydrodynamics equation for orbital-free TDDFT and a non-local operator for the Kohn-Sham version.
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A geometric construction on the quantum state manifold produces an alternative constrained Schrödinger dynamics that yields new Kohn-Sham schemes for TDDFT on finite lattices.
uMPS simulations of φ⁴ theory in 1+1 dimensions extract elastic scattering probabilities and time delays that diverge near the critical point, serving as a dynamical signature of the quantum phase transition.
An unbiased time-dependent variational Monte Carlo method is introduced via self-normalized importance sampling on a cutoff-deformed Born distribution, with a complementary tensor cross interpolation approach explored.
Numerical simulations of the dynamical dimer structure factor on the triangular Heisenberg model provide support for a gapless U(1) Dirac quantum spin liquid with gapless singlet monopole excitations at X = K/2 momenta.
Using the truncated Wigner approximation on large 1D and 2D systems, the authors find a pronounced slowdown in magnetization relaxation and transient signatures of quantum kinetically constrained dynamics starting from polarized and Néel states.
A protocol extracts scaling dimensions of d=3 CFTs from the spectrum of qubit Hamiltonians on polyhedral lattices, achieving few-percent accuracy on the 3D Ising model with 20 qubits.
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Geometric Time-Dependent Density Functional Theory
Geometric TDDFT reformulates the theory on the manifold of fixed-density states, producing a hydrodynamics equation for orbital-free TDDFT and a non-local operator for the Kohn-Sham version.
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Geometric theory of constrained Schr\"odinger dynamics with application to time-dependent density-functional theory on a finite lattice
A geometric construction on the quantum state manifold produces an alternative constrained Schrödinger dynamics that yields new Kohn-Sham schemes for TDDFT on finite lattices.
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Real-time Scattering in \phi^4 Theory using Matrix Product States
uMPS simulations of φ⁴ theory in 1+1 dimensions extract elastic scattering probabilities and time delays that diverge near the critical point, serving as a dynamical signature of the quantum phase transition.
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Time-dependent variational Monte Carlo without bias
An unbiased time-dependent variational Monte Carlo method is introduced via self-normalized importance sampling on a cutoff-deformed Born distribution, with a complementary tensor cross interpolation approach explored.
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Dynamical dimer structure factor of the triangular $S=1/2$ Heisenberg antiferromagnet
Numerical simulations of the dynamical dimer structure factor on the triangular Heisenberg model provide support for a gapless U(1) Dirac quantum spin liquid with gapless singlet monopole excitations at X = K/2 momenta.
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Quantum to classical relaxation dynamics of the dissipative Rydberg gas
Using the truncated Wigner approximation on large 1D and 2D systems, the authors find a pronounced slowdown in magnetization relaxation and transient signatures of quantum kinetically constrained dynamics starting from polarized and Néel states.
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Qubit discretizations of d=3 conformal field theories
A protocol extracts scaling dimensions of d=3 CFTs from the spectrum of qubit Hamiltonians on polyhedral lattices, achieving few-percent accuracy on the 3D Ising model with 20 qubits.