Chaos and ergodicity in an entangled two-qubit Bohmian system
- URL: http://arxiv.org/abs/2003.03989v1
- Date: Mon, 9 Mar 2020 09:26:27 GMT
- Title: Chaos and ergodicity in an entangled two-qubit Bohmian system
- Authors: Athanasios C. Tzemos, George Contopoulos
- Abstract summary: We study in detail the onset of chaos and the probability measures formed by individual Bohmian trajectories in entangled states of two-qubit systems.
In weakly entangled states chaos is manifested through the sudden jumps of the Bohmian trajectories between successive Lissajous-like figures.
In strongly entangled states, the chaotic form of the Bohmian trajectories is manifested after a short time.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We study in detail the onset of chaos and the probability measures formed by
individual Bohmian trajectories in entangled states of two-qubit systems for
various degrees of entanglement. The qubit systems consist of coherent states
of 1-d harmonic oscillators with irrational frequencies. In weakly entangled
states chaos is manifested through the sudden jumps of the Bohmian trajectories
between successive Lissajous-like figures. These jumps are succesfully
interpreted by the `nodal point-X-point complex' mechanism. In strongly
entangled states, the chaotic form of the Bohmian trajectories is manifested
after a short time. We then study the mixing properties of ensembles of Bohmian
trajectories with initial conditions satisfying Born's rule. The trajectory
points are initially distributed in two sets $S_1$ and $S_2$ with disjoint
supports but they exhibit, over the course of time, abrupt mixing whenever they
encounter the nodal points of the wavefunction. Then a substantial fraction of
trajectory points is exchanged between $S_1$ and $S_2$, without violating
Born's rule. Finally, we provide strong numerical indications that, in this
system, the main effect of the entanglement is the establishment of ergodicity
in the individual Bohmian trajectories as $t\to\infty$: different initial
conditions result to the same limiting distribution of trajectory points.
Related papers
- Measurement-induced Lévy flights of quantum information [38.68022950138448]
We explore a model of free fermions in one dimension subject to frustrated local measurements across adjacent sites.
For maximal misalignment, superdiffusive behavior emerges from the vanishing of the measurement-induced quasiparticle decay rate.
Our findings show how intricate fractal-scaling entanglement can be produced for local Hamiltonians.
arXiv Detail & Related papers (2025-01-22T14:29:13Z) - Dynamics of Topological Defects in a Rashba Spin-Orbit Coupled Bose-Einstein Condensate [14.50864620620941]
We investigate the quench dynamics of a two-dimensional Rashba spin-orbit coupled Bose-Einstein condensate.
During this quench, topological defects emerge in the form of vortices.
arXiv Detail & Related papers (2024-12-25T09:31:42Z) - A comparison between classical and Bohmian quantum chaos [0.0]
We study the emergence of chaos in a 2d system corresponding to a classical Hamiltonian system $V= frac12(omega_x2x2+omega_y2y2)+epsilon xy2$.
arXiv Detail & Related papers (2024-09-18T15:30:36Z) - Non-equilibrium dynamics of charged dual-unitary circuits [44.99833362998488]
interplay between symmetries and entanglement in out-of-equilibrium quantum systems is currently at the centre of an intense multidisciplinary research effort.
We show that one can introduce a class of solvable states, which extends that of generic dual unitary circuits.
In contrast to the known class of solvable states, which relax to the infinite temperature state, these states relax to a family of non-trivial generalised Gibbs ensembles.
arXiv Detail & Related papers (2024-07-31T17:57:14Z) - Dynamics of quantum observables and Born's rule in Bohmian Quantum Mechanics [0.0]
We compute the average values of energy, momentum, angular momentum, and position using both Standard Quantum Mechanics and Bohmian Mechanics.
We focus on elucidating the contribution of ordered and chaotic Bohmian trajectories in determining these average values.
arXiv Detail & Related papers (2024-03-04T08:32:54Z) - Optimization of Time-Dependent Decoherence Rates and Coherent Control
for a Qutrit System [77.34726150561087]
Incoherent control makes the decoherence rates depending on time in a specific controlled manner.
We consider the problem of maximizing the Hilbert-Schmidt overlap between the system's final state $rho(T)$ and a given target state $rho_rm target.
arXiv Detail & Related papers (2023-08-08T01:28:50Z) - Chaos and ergodicity in entangled non-ideal Bohmian qubits [0.0]
We study the Bohmian dynamics of a large class of bipartite systems of non-ideal qubit systems.
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.
arXiv Detail & Related papers (2022-03-04T11:04:27Z) - Partitioning dysprosium's electronic spin to reveal entanglement in
non-classical states [55.41644538483948]
We report on an experimental study of entanglement in dysprosium's electronic spin.
Our findings open up the possibility to engineer novel types of entangled atomic ensembles.
arXiv Detail & Related papers (2021-04-29T15:02:22Z) - Boundary time crystals in collective $d$-level systems [64.76138964691705]
Boundary time crystals are non-equilibrium phases of matter occurring in quantum systems in contact to an environment.
We study BTC's in collective $d$-level systems, focusing in the cases with $d=2$, $3$ and $4$.
arXiv Detail & Related papers (2021-02-05T19:00:45Z) - Chaos in Bohmian Quantum Mechanics: A short review [0.0]
We develop a generic theoretical mechanism responsible for the generation of chaos in an arbitrary Bohmian system.
We study the effect of chaos on Bohmian trajectories and study chaos and ergodicity in qubit systems.
Our results shed light on a fundamental problem in Bohmian Mechanics, namely whether there is a dynamical approximation of Born's rule by an arbitrary initial distribution of Bohmian particles.
arXiv Detail & Related papers (2020-09-12T21:01:21Z) - Anisotropy-mediated reentrant localization [62.997667081978825]
We consider a 2d dipolar system, $d=2$, with the generalized dipole-dipole interaction $sim r-a$, and the power $a$ controlled experimentally in trapped-ion or Rydberg-atom systems.
We show that the spatially homogeneous tilt $beta$ of the dipoles giving rise to the anisotropic dipole exchange leads to the non-trivial reentrant localization beyond the locator expansion.
arXiv Detail & Related papers (2020-01-31T19:00:01Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.