scholarly journals Many-body spectral reflection symmetry and protected infinite-temperature degeneracy

2018 ◽  
Vol 98 (3) ◽  
Author(s):  
Michael Schecter ◽  
Thomas Iadecola
Keyword(s):  
Reflection Symmetry ◽  
Many Body ◽  
Spectral Reflection ◽  
Infinite Temperature

scholarly journals Topology and Broken Symmetry in Floquet Systems

2020 ◽  
Vol 11 (1) ◽  
pp. 345-368 ◽  
Author(s):  
Fenner Harper ◽  
Rahul Roy ◽  
Mark S. Rudner ◽  
S.L. Sondhi
Keyword(s):  
Prima Facie ◽  
Particle Systems ◽  
Many Body ◽  
Nontrivial Behavior ◽  
Interacting Systems ◽  
State Of Affairs ◽  
Main Ideas ◽  
Nontrivial Topology ◽  
Infinite Temperature

Floquet systems are governed by periodic, time-dependent Hamiltonians. Prima facie they should absorb energy from the external drives involved in modulating their couplings and heat up to infinite temperature. However, this unhappy state of affairs can be avoided in many ways. Instead, as has become clear from much recent work, Floquet systems can exhibit a variety of nontrivial behavior—some of which is impossible in undriven systems. In this review, we describe the main ideas and themes of this work: novel Floquet drives that exhibit nontrivial topology in single-particle systems, the existence and classification of exotic Floquet drives in interacting systems, and the attendant notion of many-body Floquet phases and arguments for their stability to heating.

scholarly journals Lieb's Theorem and Maximum Entropy Condensates

Quantum ◽  
2021 ◽  
Vol 5 ◽  
pp. 610
Author(s):  
Joseph Tindall ◽  
Frank Schlawin ◽  
Michael Sentef ◽  
Dieter Jaksch
Keyword(s):  
Quantum System ◽  
Maximum Entropy ◽  
Ground State ◽  
Broad Class ◽  
Optical Manipulation ◽  
Many Body ◽  
Temperature State ◽  
Many Body Systems ◽  
Advantageous Effect ◽  
Infinite Temperature

Coherent driving has established itself as a powerful tool for guiding a many-body quantum system into a desirable, coherent non-equilibrium state. A thermodynamically large system will, however, almost always saturate to a featureless infinite temperature state under continuous driving and so the optical manipulation of many-body systems is considered feasible only if a transient, prethermal regime exists, where heating is suppressed. Here we show that, counterintuitively, in a broad class of lattices Floquet heating can actually be an advantageous effect. Specifically, we prove that the maximum entropy steady states which form upon driving the ground state of the Hubbard model on unbalanced bi-partite lattices possess uniform off-diagonal long-range order which remains finite even in the thermodynamic limit. This creation of a `hot' condensate can occur on any driven unbalanced lattice and provides an understanding of how heating can, at the macroscopic level, expose and alter the order in a quantum system. We discuss implications for recent experiments observing emergent superconductivity in photoexcited materials.

scholarly journals Fast scrambling on sparse graphs

2019 ◽  
Vol 116 (14) ◽  
pp. 6689-6694 ◽  
Author(s):  
Gregory Bentsen ◽  
Yingfei Gu ◽  
Andrew Lucas
Keyword(s):  
Quantum Chaos ◽  
Degrees Of Freedom ◽  
Quantum Correlations ◽  
Quantum Systems ◽  
Body System ◽  
Many Body ◽  
Sparse Graphs ◽  
Local Quantum ◽  
Sparse Connectivity ◽  
Infinite Temperature

Given a quantum many-body system with few-body interactions, how rapidly can quantum information be hidden during time evolution? The fast-scrambling conjecture is that the time to thoroughly mix information among N degrees of freedom grows at least logarithmically in N. We derive this inequality for generic quantum systems at infinite temperature, bounding the scrambling time by a finite decay time of local quantum correlations at late times. Using Lieb–Robinson bounds, generalized Sachdev–Ye–Kitaev models, and random unitary circuits, we propose that a logarithmic scrambling time can be achieved in most quantum systems with sparse connectivity. These models also elucidate how quantum chaos is not universally related to scrambling: We construct random few-body circuits with infinite Lyapunov exponent but logarithmic scrambling time. We discuss analogies between quantum models on graphs and quantum black holes and suggest methods to experimentally study scrambling with as many as 100 sparsely connected quantum degrees of freedom.

Novel simulation model for many-body multipole dispersion interactions

1998 ◽  
Vol 94 (3) ◽  
pp. 417-433 ◽  
Author(s):  
MARTIN VAN DER HOEF ◽  
PAUL MADDEN
Keyword(s):  
Simulation Model ◽  
Dispersion Interactions ◽  
Many Body

On the many-body theory of nuclear reactions

1968 ◽  
Vol 111 (1) ◽  
pp. 392-416 ◽  
Author(s):  
K DIETRICH ◽  
K HARA
Keyword(s):  
Nuclear Reactions ◽  
Many Body ◽  
Many Body Theory ◽  
The Many ◽  
Body Theory

MANY-BODY THEORY FOR HYPERFINE EFFECTS IN ATOMS AND MOLECULES

1970 ◽  
Vol 31 (C4) ◽  
pp. C4-99-C4-104
Author(s):  
T. P. DAS ◽  
C. M. DUTTA ◽  
N. C. DUTTA
Keyword(s):  
Many Body ◽  
Atoms And Molecules ◽  
Many Body Theory ◽  
Body Theory

ELECTROWETTING-INDUCED DROPLET JUMPING SIMULATION USING MANY-BODY DISSIPATIVE PARTICLE DYNAMICS

2019 ◽  
Author(s):  
Ting Liu ◽  
Anupam Mishra ◽  
Mohsen Torabi ◽  
Ahmed A. Hemeda ◽  
James Palko ◽  
...  
Keyword(s):  
Dissipative Particle Dynamics ◽  
Particle Dynamics ◽  
Many Body
Sign in / Sign up

Export Citation Format

Share Document