2016/05/31 by Aranya B. Bhattacherjee, Deepti Sharma, Axel Pelster · 4 citations
Computer Science · Mathematics · Physics and Astronomy · #Dynamics (music) #Equations of motion #Hamiltonian (control theory) #Heisenberg model #Heisenberg picture #Mathematical optimization #Mathematical physics #Mathematics #Operator (biology) #Physics #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Spin (aerodynamics) #cond-mat.quant-gas #quant-ph
paper · pdf · doi:10.1140/epjd/e2017-80534-6
published in The European Physical Journal D 71(12) (Springer Science+Business Media) · 16 pages, 3 figures
openalex publication_date 2017/12/01 · arxiv created 2018/01/04 · arxiv updated 2018/01/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We reconsider the one-axis twisting Hamiltonian, which is commonly used for generating spin squeezing, and treat its dynamics within the Heisenberg operator approach. To this end we solve the underlying Heisenberg equations of motion perturbatively and evaluate the expectation values of the resulting time-dependent Heisenberg operators in order to determine approximately the dynamics of spin squeezing. Comparing our results with those originating from exact numerics reveals that they are more accurate than the commonly used frozen spin approximation.