Nuclear spin dynamics in double quantum dots: Multistability, dynamical polarization, criticality, and entanglement

Schuetz, Martin J. A.; Kessler, Eric; Vandersypen, L. M. K.; Cirac, J. I.; Giedke, G.

doi:10.1103/physrevb.89.195310

Cited by 20 publications

(16 citation statements)

References 120 publications

(259 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This coherent-oscillation phase origi-nates intrinsically from the nonequilibrium-induced net current, which quantifies the degree of deviation from equilibrium. Compared to the previous work, our exact and analytical solution to the dynamics of spin qubits in the presence of noisy environments goes beyond the weak system-bath coupling and Markovian approximations [21][22][23] . This demonstrates in a general scenario the revival of quantum coherence arising from the non-Markovian effect, supported by the pure numerical simulations 14 .…”

Section: Introductionmentioning

confidence: 99%

Nonequilibrium-induced enhancement of dynamical quantum coherence and entanglement of spin arrays

Zhang

Wang

2017

Phys. Rev. B

View full text Add to dashboard Cite

The random magnetic field produced by nuclear spins has long been viewed as the dominating source of decoherence in the quantum-dot based spins. Here we obtain in both exact and analytical manner the dynamics of spin qubits coupled to nuclear spin environments via the hyperfine interaction, going beyond the weak system-bath interaction and Markovian approximation. We predict that the detailed-balance-breaking produced by chemical potential gradient in nuclear baths leads to the rapid oscillations of populations, quantum coherence and entanglement, which are absent in the conventional case (i.e., Overhauser noise). This is attributed to the nonequilibruim feature of the system as shown in the relation between the oscillation period and the chemical potential imbalance. Our results reveal the essentiality of nonequilibriumness with detailed-balance-breaking for enhancing the dynamical coherence and entanglement of spin qubits. Moreover our exact solution explicitly demonstrates that the non-Markovian bath comprised by nuclear spins can preserve the collective quantum state, due to the recovery of coherence. Finally we propose an experiment using ultracold trapped ions to observe these nonequilibrium and memory effects.

show abstract

Section: Introductionmentioning

confidence: 99%

Nonequilibrium-induced enhancement of dynamical quantum coherence and entanglement of spin arrays

Zhang

Wang

2017

Phys. Rev. B

View full text Add to dashboard Cite

show abstract

“…From this perspective, the asymptotic dynamics of many quantum quantities provide us with ideal systems for comprehending quantum characteristics, which play an important role in QIO. Quantum dot systems [28][29][30][31][32], impurity systems [33][34][35][36][37], trapped ions [38][39][40], and other quantum systems can be used to implement many of these quantum systems. The performance of quantum qualities is frequently identified by the external noise reflected in physical quantum systems.…”

Section: Introductionmentioning

confidence: 99%

Coherence Trapping in Open Two-Qubit Dynamics

et al. 2021

View full text Add to dashboard Cite

In this manuscript, we examine the dynamical behavior of the coherence in open quantum systems using the l1 norm. We consider a two-qubit system that evolves in the framework of Kossakowski-type quantum dynamical semigroups (KTQDSs) of completely positive maps (CPMs). We find that the quantum coherence can be asymptotically maintained with respect to the values of the system parameters. Moreover, we show that the quantum coherence can resist the effect of the environment and preserve even in the regime of long times. The obtained results also show that the initially separable states can provide a finite value of the coherence during the time evolution. Because of such properties, several states in this type of environments are good candidates for incorporating quantum information and optics (QIO) schemes. Finally, we compare the dynamical behavior of the coherence with the entire quantum correlation.

show abstract

“…Recently, it has been exploited for promising magnetic-field-free directional devices for photons [30][31][32][33][34][35] . Surprisingly, fermionic reservoir engineering is virtually unexplored, except for situations where the system couples to spin 36 or bosonic degrees of freedom 37 of the reservoir.…”

Section: Introductionmentioning

confidence: 99%

“…In contrast to Refs. 36,37 , the engineered reservoir exchanges fermions with the system. The mechanism is based on a directional interaction that arises due to interference of coherent (from a Hamiltonian) and dissipative coupling (from a shared reservoir), independently of particle statistics 31 .…”

Section: Introductionmentioning

confidence: 99%

Current rectification in a double quantum dot through fermionic reservoir engineering

Malz

Nunnenkamp

2018

Phys. Rev. B

View full text Add to dashboard Cite

Reservoir engineering is a powerful tool for the robust generation of quantum states or transport properties. Using both a weak-coupling quantum master equation and the exact solution, we show that directional transport of electrons through a double quantum dot can be achieved through an appropriately designed electronic environment. Directionality is attained through the interference of coherent and dissipative coupling. The relative phase is tuned with an external magnetic field, such that directionality can be reversed, as well as turned on and off dynamically. Our work introduces fermionic reservoir engineering, paving the way to a new class of nanoelectronic devices. ∞ 0 exp(−zt)c(t)dt allows us to write the equations of

show abstract

Nuclear spin dynamics in double quantum dots: Multistability, dynamical polarization, criticality, and entanglement

Cited by 20 publications

References 120 publications

Nonequilibrium-induced enhancement of dynamical quantum coherence and entanglement of spin arrays

Nonequilibrium-induced enhancement of dynamical quantum coherence and entanglement of spin arrays

Coherence Trapping in Open Two-Qubit Dynamics

Current rectification in a double quantum dot through fermionic reservoir engineering

Contact Info

Product

Resources

About