# 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…

## References

SHOWING 1-10 OF 63 REFERENCES

Geometrizing Quantum Dynamics of a Bose-Einstein Condensate.

- PhysicsPhysical review letters
- 2020

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

- Physics
- 2013

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

- PhysicsNature Physics
- 2019

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.

- PhysicsPhysical review letters
- 2018

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

- Physics
- 2020

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

- Physics
- 2012

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

- Physics
- 1998

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.

- PhysicsPhysical review letters
- 2020

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

- PhysicsPhysical Review X
- 2019

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…