Bohmian trajectories in an entangled two-qubit system

Tzemos, Athanasios C.; Contopoulos, G.; Efthymiopoulos, Christos

doi:10.1088/1402-4896/ab2445

Cited by 22 publications

(22 citation statements)

References 43 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As a technical detail, we mention that, as expected, Bohmian trajectories do not cross into the

space (not plotted) but they cross in the subspace x of Figure 4 a. In addition, one can expect some chaotic behavior in 2D systems [ 39 , 40 ] that is not present in the 1D system that is shown in the Figure 4 a.…”

Section: How Do We Select the Single-particle Pure States Before And After The Collision?mentioning

confidence: 67%

Scattering in Terms of Bohmian Conditional Wave Functions for Scenarios with Non-Commuting Energy and Momentum Operators

Villani

Albareda

Destefani

et al. 2021

Entropy

View full text Add to dashboard Cite

Without access to the full quantum state, modeling quantum transport in mesoscopic systems requires dealing with a limited number of degrees of freedom. In this work, we analyze the possibility of modeling the perturbation induced by non-simulated degrees of freedom on the simulated ones as a transition between single-particle pure states. First, we show that Bohmian conditional wave functions (BCWFs) allow for a rigorous discussion of the dynamics of electrons inside open quantum systems in terms of single-particle time-dependent pure states, either under Markovian or non-Markovian conditions. Second, we discuss the practical application of the method for modeling light–matter interaction phenomena in a resonant tunneling device, where a single photon interacts with a single electron. Third, we emphasize the importance of interpreting such a scattering mechanism as a transition between initial and final single-particle BCWF with well-defined central energies (rather than with well-defined central momenta).

show abstract

“…As a technical detail, we mention that, as expected, Bohmian trajectories do not cross into the

Section: How Do We Select the Single-particle Pure States Before And After The Collision?mentioning

confidence: 67%

Scattering in Terms of Bohmian Conditional Wave Functions for Scenarios with Non-Commuting Energy and Momentum Operators

Villani

Albareda

Destefani

et al. 2021

Entropy

View full text Add to dashboard Cite

show abstract

“…4(a). In addition, one can expect some chaotic behavior in 2D systems [39,40] that is not present in the 1D system that is shown in the Fig. 4(a).…”

Section: Exact Solution In a Closed Systemmentioning

confidence: 94%

Scattering in Terms of Bohmian Conditional Wave Functions for Scenarios with Non-Commuting Energy and Momentum Operators

Villani,

Albareda,

Destefani

et al. 2022

Preprint

View full text Add to dashboard Cite

Without access to the full quantum state, modeling quantum transport in mesoscopic systems requires dealing with a limited number of degrees of freedom. In this work, we analyze the possibility of modeling the perturbation induced by the non-simulated degrees of freedom on the simulated ones as a transition between single-particle pure states. First, we show that Bohmian conditional wave functions (BCWF) allow a rigorous discussion of the dynamics of electrons inside open quantum systems in terms of such single-particle pure states, either under Markovian or non-Markovian conditions. Second, we discuss the practical application of the method for modeling light-matter interaction phenomena in a resonant tunneling device (RTD), where a single photon is interacting with a single electron. Third, we emphasize the importance of interpreting such scattering mechanism as a transition between initial and final single-particle BCWF with well-defined energies (rather than with well-defined momenta).

show abstract

“…In our previous papers [19,21,20,22], we studied the Bohmian Dynamics of entangled coherent states of the form…”

Section: A Bipartite System Of Quantum Har-monic Oscillatorsmentioning

confidence: 99%

“…In a series of previous works [19,20,21,22] we used the coherent states of the QHO in order to construct qubits [23] and then studied in detail the Bohmian Dynamics of two such qubits for various degrees of quantum entanglement.…”

Section: Introductionmentioning

confidence: 99%

Chaos and ergodicity in entangled non-ideal Bohmian qubits

Tzemos¹,

Contopoulos²

2022

Preprint

View full text Add to dashboard Cite

We study the Bohmian dynamics of a large class of bipartite systems of non-ideal qubit systems, by modifying the basic physical parameters of an ideal two-qubit system, made of coherent states of the quantum harmonic oscillator. First we study the case of coherent states with truncated energy levels and large amplitudes. Then we study non-truncated coherent states but with small amplitudes and finally a combination of the above cases. In all cases we find that the chaotic Bohmian trajectories are approximately ergodic. We also study the number and the spatial arrangement of the nodal points of the wavefunction and their role both in the formation of chaotic-ergodic trajectories, and in the emergence of ordered trajectories. Our results have strong implications on the dynamical establishment of Born's rule.

show abstract

Bohmian trajectories in an entangled two-qubit system

Cited by 22 publications

References 43 publications

Scattering in Terms of Bohmian Conditional Wave Functions for Scenarios with Non-Commuting Energy and Momentum Operators

Scattering in Terms of Bohmian Conditional Wave Functions for Scenarios with Non-Commuting Energy and Momentum Operators

Scattering in Terms of Bohmian Conditional Wave Functions for Scenarios with Non-Commuting Energy and Momentum Operators

Chaos and ergodicity in entangled non-ideal Bohmian qubits

Contact Info

Product

Resources

About