scholarly journals Local Convertibility and the Quantum Simulation of Edge States in Many-Body Systems

2014 ◽  
Vol 4 (4) ◽  
Author(s):  
Fabio Franchini ◽  
Jian Cui ◽  
Luigi Amico ◽  
Heng Fan ◽  
Mile Gu ◽  
...  
Keyword(s):  
Quantum Simulation ◽  
Edge States ◽  
Many Body ◽  
Many Body Systems

scholarly journals Efficient quantum simulation for thermodynamics of infinite-size many-body systems in arbitrary dimensions

2019 ◽  
Vol 99 (20) ◽  
Author(s):  
Shi-Ju Ran ◽  
Bin Xi ◽  
Cheng Peng ◽  
Gang Su ◽  
Maciej Lewenstein
Keyword(s):  
Quantum Simulation ◽  
Many Body ◽  
Arbitrary Dimensions ◽  
Many Body Systems

scholarly journals Manipulating Quantum Many-Body Systems in the Presence of Controllable Dissipation

Proceedings ◽  
2019 ◽  
Vol 12 (1) ◽  
pp. 8
Author(s):  
Davide Rossini
Keyword(s):  
Gauge Field ◽  
Annealing Time ◽  
Quantum Simulation ◽  
Quantum Annealing ◽  
Many Body ◽  
Persistent Currents ◽  
Dissipative Processes ◽  
Nonadiabatic Effects ◽  
Many Body Systems ◽  
Many Body Physics

We discuss two quantum simulation schemes in which the coupling to an external bath may give rise to novel and interesting many-body physics. Namely, we first address the effect of local Markovian baths on the quantum annealing dynamics of an Ising-like chain: deviations from adiabaticity may display a nonmonotonic trend as a function of the annealing time, as a result of the competition between nonadiabatic effects and dissipative processes. Secondly, we provide a framework to induce persistent currents through the coupling with a structured reservoir which generates nonreciprocity, without the need of any applied gauge field.

scholarly journals Experimental Quantum Simulation of Entanglement in Many-Body Systems

2011 ◽  
Vol 107 (1) ◽  
Author(s):  
Jingfu Zhang ◽  
Tzu-Chieh Wei ◽  
Raymond Laflamme
Keyword(s):  
Quantum Simulation ◽  
Many Body ◽  
Many Body Systems

scholarly journals Anatomy of a Periodically Driven p-Wave Superconductor

2016 ◽  
Vol 71 (10) ◽  
pp. 883-895 ◽  
Author(s):  
Erhai Zhao
Keyword(s):  
Two Dimensions ◽  
P Wave ◽  
Edge States ◽  
Many Body ◽  
Simple Description ◽  
Periodically Driven ◽  
Topological Superconductors ◽  
Many Body Systems ◽  
Isolated Point ◽  
Topological Singularities

AbstractThe topological properties of periodically driven many-body systems often have no static analogs and defy a simple description based on the effective Hamiltonian. To explore the emergent edge modes in driven p-wave superconductors in two dimensions, we analysed a toy model of Kitaev chains (one-dimensional spinless p-wave superconductors with Majorana edge states) coupled by time-periodic hopping. We showed that with proper driving, the coupled Kitaev chains can turn into a fully gapped superconductor, which is analogous to the px+ipy state but has two, rather than one, chiral edge modes. A different driving protocol turns it into a gapless superconductor with isolated point nodes and completely flat edge states at quasienergy ω=0 or π/T, with T as the driving period. The time evolution operator U(kx, ky, t) of the toy model is computed exactly to yield the phase bands. And the “topological singularities” of the phase bands are exhausted and compared to those of a periodically driven Hofstadter model, which features counter-propagating chiral edge modes. These examples demonstrate the unique edge states in driven superconducting systems and suggest driving as a potentially fruitful route to engineer new topological superconductors.

scholarly journals Observation of a symmetry-protected topological phase of interacting bosons with Rydberg atoms

Science ◽  
2019 ◽  
Vol 365 (6455) ◽  
pp. 775-780 ◽  
Author(s):  
Sylvain de Léséleuc ◽  
Vincent Lienhard ◽  
Pascal Scholl ◽  
Daniel Barredo ◽  
Sebastian Weber ◽  
...  
Keyword(s):  
Optical Tweezers ◽  
Ground States ◽  
Hard Core ◽  
Topological Phases ◽  
Topological Phase ◽  
Edge States ◽  
Many Body ◽  
Experimental Realization ◽  
Many Body Systems ◽  
Symmetry Protected

The concept of topological phases is a powerful framework for characterizing ground states of quantum many-body systems that goes beyond the paradigm of symmetry breaking. Topological phases can appear in condensed-matter systems naturally, whereas the implementation and study of such quantum many-body ground states in artificial matter require careful engineering. Here, we report the experimental realization of a symmetry-protected topological phase of interacting bosons in a one-dimensional lattice and demonstrate a robust ground state degeneracy attributed to protected zero-energy edge states. The experimental setup is based on atoms trapped in an array of optical tweezers and excited into Rydberg levels, which gives rise to hard-core bosons with an effective hopping generated by dipolar exchange interaction.

scholarly journals Superconducting quantum many-body circuits for quantum simulation and computing

2020 ◽  
Vol 116 (23) ◽  
pp. 230501
Author(s):  
Samuel A. Wilkinson ◽  
Michael J. Hartmann
Keyword(s):  
Quantum Simulation ◽  
Many Body

REGULAR STRUCTURE OF LOW-LYING STATES FOR ATOMIC NUCLEI UNDER RANDOM INTERACTIONS

2008 ◽  
Vol 17 (supp01) ◽  
pp. 304-317
Author(s):  
Y. M. ZHAO
Keyword(s):  
Ground State ◽  
Collective Motion ◽  
Regular Structure ◽  
Positive Parity ◽  
Many Body ◽  
Random Interactions ◽  
Atomic Nuclei ◽  
Many Body Systems

In this paper we review regularities of low-lying states for many-body systems, in particular, atomic nuclei, under random interactions. We shall discuss the famous problem of spin zero ground state dominance, positive parity dominance, collective motion, odd-even staggering, average energies, etc., in the presence of random interactions.

scholarly journals Emergence of a Renormalized 1/N Expansion in Quenched Critical Many-Body Systems

2021 ◽  
Vol 126 (11) ◽  
Author(s):  
Benjamin Geiger ◽  
Juan Diego Urbina ◽  
Klaus Richter
Keyword(s):  
Many Body ◽  
Many Body Systems
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