Constrained dynamics of maximally entangled bipartite system

Bashir, Asma; Wasay, Muhammad Abdul

doi:10.1140/epjc/s10052-021-09111-x

Cited by 2 publications

(3 citation statements)

References 23 publications

(49 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The state of a single free (unentangled) particle on helicoid is defined as: (η, ϑ) = exp(ilϑ)ψ(η), where l is angular momentum [20]. The maximally entangled pure bipartite state for two particles constrained on a helicoid is given by an equation of the following form [15],…”

Section: Quantum Dynamicsmentioning

confidence: 99%

“…The Dirac quantization leads to some additional terms in the energy equation which can be of great physical significance, in connection to curved spaces [7,14,15] and to the external fields. In this section, we obtain the energy equation for our setup and study the effect of various parameters i.e., B, A etc., on these terms.…”

Section: Energy Equationmentioning

confidence: 99%

“…Dirac quantization on curved spaces leads to extra terms in the energy equation which can be linked with the curvature of space or shift in the energy spectrum leading to novel physics. It is therefore also of interest to discuss such energy terms for constrained quantum correlated particles on curved spaces [14], which was done in [15] for a maximally entangled system constrained on S 1 .…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Dynamics and uncertainty for maximally entangled bipartite system constrained on a helicoid

et al. 2022

Self Cite

View full text Add to dashboard Cite

The classical and quantum dynamics of particles constrained on a right helicoid is discussed via Dirac approach. We show how the uncertainty in measurement for observables of maximally entangled system is affected by the total number of constrained particles $$\sigma $$ σ , external magnetic field $$\vec {\mathcal {B}}$$ B → ; as well as by geometric parameters like the pitch$$\rho $$ ρ and the radial position of particles. In doing so we also highlight numeric bounds on the external field strengths to tune both intraparticle and bipartite entanglement and we remark that the bipartite entanglement is more robust to changes in the fields than the intraparticle entanglement, in this framework. We also highlight specific parameter regimes which lead the uncertainty (in measurement) to achieve respective parameter independence and, for a particular subset of commutation relations, the system remains confined in the quantum regime even in the limit $$\sigma \rightarrow \infty $$ σ → ∞ . It is observed that the uncertainties are strongly influenced by the geometric parameters e.g., $$\rho $$ ρ , and the strength of bipartite as well as intraparticle entanglement might be controllable through $$\rho $$ ρ . The energy equation for this setup is obtained and the additional terms are discussed which arise due to quantum correlations, orbit–orbit interaction and the normal Zeeman effect, which leads to the splitting of the energy level into 11 non-degenerate levels. Finally we comment that, a linkage of this phenomenology with Aharonov–Bohm like effect might be possible by strictly confining $$\vec {\mathcal {B}}$$ B → along the central axis of the helicoid.

show abstract

Section: Quantum Dynamicsmentioning

confidence: 99%

Section: Energy Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Dynamics and uncertainty for maximally entangled bipartite system constrained on a helicoid

et al. 2022

Self Cite

View full text Add to dashboard Cite

show abstract

Variance-based uncertainty relations and entanglement amplification for particles constrained on a torus

Bashir,

Javed,

Wasay

et al. 2024

Eur. Phys. J. C

View full text Add to dashboard Cite

We formulate the variance-based uncertainty relations (URs) via the Robertson’s inequality, for a 2-particle entangled system constrained on a torus and subject to a stationary magnetic field $$\mathcal {\vec {B}}$$ B → . We explore the system’s parameter space and show that these new URs have field-tunable uncertainty bounds. Our analysis reveals that $$\mathcal {\vec {A}}$$ A → (vector potential) induces a phase shift in the state, due to the Aharonov–Bohm effect, leading to a perturbed system dynamics which results in asymmetric product of variance ($$\mathcal {POV}$$ POV ). Additionally, we give the critical range of $$\mathcal {\vec {A}}$$ A → and $$\mathcal {\vec {B}}$$ B → where the system acts as an entanglement amplifier; this amplification is also discussed under various geometric parameters. The possibility of reducing the $$\mathcal {POV}$$ POV of the conjugate pair [q, p] below the known benchmark value by the Generalized Uncertainty Relation (GUR) is also demonstrated. Finally, we check the susceptibility of state coherence to $$\mathcal {\vec {B}}$$ B → by saturating the angular momentum uncertainty relation and identify the critical coherence value $${\mathcal {B}}_c$$ B c such that when $${\mathcal {B}}\ne {\mathcal {B}}_c$$ B ≠ B c , the state decoheres.

show abstract

Constrained dynamics of maximally entangled bipartite system

Cited by 2 publications

References 23 publications

Dynamics and uncertainty for maximally entangled bipartite system constrained on a helicoid

Dynamics and uncertainty for maximally entangled bipartite system constrained on a helicoid

Variance-based uncertainty relations and entanglement amplification for particles constrained on a torus

Contact Info

Product

Resources

About