• Corpus ID: 248811596

Emergent spacetimes from Hermitian and non-Hermitian quantum dynamics

@inproceedings{Lv2022EmergentSF,
  title={Emergent spacetimes from Hermitian and non-Hermitian quantum dynamics},
  author={Chenwei Lv and Qi Zhou},
  year={2022}
}
We show that quantum dynamics of any systems with SU (1 , 1) symmetry give rise to emergent Anti-de Sitter spacetimes in 2+1 dimensions (AdS 2+1 ). Using the continuous circuit depth, a quantum evolution is mapped to a trajectory in AdS 2+1 . Whereas the time measured in laboratories becomes either the proper time or the proper distance, quench dynamics follow geodesics of AdS 2+1 . Such a geometric approach provides a unified interpretation of a wide range of prototypical phenomena that appear… 

Figures and Tables from this paper

References

SHOWING 1-10 OF 63 REFERENCES
Geometrizing Quantum Dynamics of a Bose-Einstein Condensate.
TLDR
This work suggests a new geometric framework to coherently control quantum systems and reverse their dynamics using SU(1,1) echoes in the presence of perturbations breaking the SU(2,2) symmetry.
Exact holographic mapping and emergent space-time geometry
In this paper, we propose an {\it exact holographic mapping} which is a unitary mapping from the Hilbert space of a lattice system in flat space (boundary) to that of another lattice system in one
Quantum simulation of Unruh radiation
The exploration of quantum phenomena in a curved spacetime is an emerging interdisciplinary area at the interface between general relativity1–4, thermodynamics4–6 and quantum information7,8. One
Toward a Definition of Complexity for Quantum Field Theory States.
We investigate notions of complexity of states in continuous many-body quantum systems. We focus on Gaussian states which include ground states of free quantum field theories and their approximations
Floquet conformal field theories with generally deformed Hamiltonians
In this work, we study non-equilibrium dynamics in Floquet conformal field theories (CFTs) in 1+1D, in which the driving Hamiltonian involves the energy-momentum density spatially modulated by an
Holographic geometry of entanglement renormalization in quantum field theories
A bstractWe study a conjectured connection between AdS/CFT and a real-space quantum renormalization group scheme, the multi-scale entanglement renormalization ansatz (MERA). By making a close contact
Anti-de Sitter space and holography
Recently, it has been proposed by Maldacena that large $N$ limits of certain conformal field theories in $d$ dimensions can be described in terms of supergravity (and string theory) on the product of
SU(1,1) Echoes for Breathers in Quantum Gases.
TLDR
This work designs echoes to reverse quantum dynamics of breathers in three-dimensional unitary fermions and two-dimensional bosons and fermion with contact interactions, which are governed by an underlying su(1,1) algebra.
Dynamical Symmetry and Breathers in a Two-Dimensional Bose Gas
A fluid is said to be \emph{scale-invariant} when its interaction and kinetic energies have the same scaling in a dilation operation. In association with the more general conformal invariance, scale
...
...