When things stop falling, chaos is suppressed

Ageev, Dmitry S.; Aref’eva, I. Ya.

doi:10.1007/jhep01(2019)100

Cited by 22 publications

(9 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…With increasing μ, the system is less chaotic. This agrees with the conclusion obtained considering the charged particle motion in the RN AdS background, for which a reduction of the chaotic behavior is observed increasing the chemical potential [30]. Decrease in chaoticity is also observed for a thermal background involving a dilaton warp factor.…”

Section: Discussionsupporting

confidence: 91%

Chaos in a QQ¯ system at finite temperature and baryon density

2020

View full text Add to dashboard Cite

Onset of chaos for the holographic dual of a QQ system at finite temperature and baryon density is studied. We consider a string in the AdS Reissner-Nordstrom background near the black-hole horizon and investigate small time-dependent perturbations of the static configurations. The proximity to the horizon induces chaos, which is softened increasing the chemical potential. A background geometry including the effect of a dilaton is also examined. The Maldacena, Shenker, and Stanford bound on the Lyapunov exponents characterizing the perturbations is satisfied for finite baryon chemical potential and when the dilaton is included in the metric.

show abstract

Section: Discussionsupporting

confidence: 91%

Chaos in a QQ¯ system at finite temperature and baryon density

2020

View full text Add to dashboard Cite

show abstract

“…The same characteristic is also found in the the strongly coupling chaotic quantum system, SYK model. References [3,4] further study the particle falling toward charged black holes and confirm the Susskin proposal.…”

Section: Introductionsupporting

confidence: 61%

Particle Motion and Chaos

Zhou

2020

Advances in High Energy Physics

View full text Add to dashboard Cite

In this note, we explicitly illuminate that the velocity bound in the gravity corresponds to the chaos bound in the quantum system by studying the particle free falling in hyperscaling violating (HV) black brane. We also study the particle falling in a repulsive potential in HV black brane and in the AdS soliton geometry, respectively. We find that the momentum doesn't grow exponentially and chaos is suppressed in the two cases. It is attributed to that when the repulsive potential is introduced or the black hole horizon is absent, the particle is slow down and its trajectory seen by a comoving observer is timelike, which corresponds a weak chaos system. *

show abstract

“…We expect that our results are much more universal, especially in non-holographic models. It would be interesting to generalize our result to finite temperature T , in which case a more detailed comparison with (6.92) could be made, along with other holographic results [56].…”

Section: Discussionmentioning

confidence: 82%

Many-body quantum dynamics slows down at low density

Chen

Lucas

2020

SciPost Phys.

View full text Add to dashboard Cite

We study quantum many-body systems with a global U(1) conservation law, focusing on a theory of N interacting fermions with charge conservation, or N interacting spins with one conserved component of total spin. We define an effective operator size at finite chemical potential through suitably regularized out-of-time-ordered correlation functions. The growth rate of this density-dependent operator size vanishes algebraically with charge density; hence we obtain new bounds on Lyapunov exponents and butterfly velocities in charged systems at a given density, which are parametrically stronger than any Lieb-Robinson bound. We argue that the density dependence of our bound on the Lyapunov exponent is saturated in the charged Sachdev-Ye-Kitaev model. We also study random automaton quantum circuits and Brownian Sachdev-Ye-Kitaev models, each of which exhibit a different density dependence for the Lyapunov exponent, and explain the discrepancy. We propose that our results are a cartoon for understanding Planckian-limited energy-conserving dynamics at finite temperature.

show abstract

When things stop falling, chaos is suppressed

Cited by 22 publications

References 18 publications

Chaos in a QQ¯ system at finite temperature and baryon density

Chaos in a QQ¯ system at finite temperature and baryon density

Particle Motion and Chaos

Many-body quantum dynamics slows down at low density

Contact Info

Product

Resources

About