scholarly journals Stroboscopic aliasing in long-range interacting quantum systems

2021 ◽  
Vol 4 (3) ◽  
Author(s):  
Shane Kelly ◽  
Eddy Timmermans ◽  
Jamir Marino ◽  
S.-W. Tsai
Keyword(s):  
Long Range ◽  
Frame Rate ◽  
Reverse Direction ◽  
Entangled State ◽  
Many Body ◽  
Helicopter Blades ◽  
Time Translation ◽  
Potential Applications ◽  
Translation Symmetry ◽  
Many Body Systems

We unveil a mechanism for generating oscillations with arbitrary multiplets of the period of a given external drive, in long-range interacting quantum many-particle spin systems. These oscillations break discrete time translation symmetry as in time crystals, but they are understood via two intertwined stroboscopic effects similar to the aliasing resulting from video taping a single fast rotating helicopter blade. The first effect is similar to a single blade appearing as multiple blades due to a frame rate that is in resonance with the frequency of the helicopter blades' rotation; the second is akin to the optical appearance of the helicopter blades moving in reverse direction. Analogously to other dynamically stabilized states in interacting quantum many-body systems, this stroboscopic aliasing is robust to detuning and excursions from a chosen set of driving parameters, and it offers a novel route for engineering dynamical n-tuplets in long-range quantum simulators, with potential applications to spin squeezing generation and entangled state preparation.

Discrete Time Crystals

2020 ◽  
Vol 11 (1) ◽  
pp. 467-499 ◽  
Author(s):  
Dominic V. Else ◽  
Christopher Monroe ◽  
Chetan Nayak ◽  
Norman Y. Yao
Keyword(s):  
Discrete Time ◽  
Quantum Dynamics ◽  
Many Body ◽  
Time Translation ◽  
Translation Symmetry ◽  
Interesting Class ◽  
Many Body Systems ◽  
Definition Of ◽  
Many Body Interactions ◽  
Time Crystals

Experimental advances have allowed for the exploration of nearly isolated quantum many-body systems whose coupling to an external bath is very weak. A particularly interesting class of such systems is those that do not thermalize under their own isolated quantum dynamics. In this review, we highlight the possibility for such systems to exhibit new nonequilibrium phases of matter. In particular, we focus on discrete time crystals, which are many-body phases of matter characterized by a spontaneously broken discrete time-translation symmetry. We give a definition of discrete time crystals from several points of view, emphasizing that they are a nonequilibrium phenomenon that is stabilized by many-body interactions, with no analog in noninteracting systems. We explain the theory behind several proposed models of discrete time crystals, and compare several recent realizations, in different experimental contexts.

EXISTENCE OF FOUR DISTINCT PHASES IN ONE DIMENSIONAL MANY-BODY SYSTEMS WITH LONG-RANGE INTERACTION: QUANTUM KOSTERLITZ–THOULESS TRANSITIONS

2001 ◽  
Vol 15 (06n07) ◽  
pp. 175-182
Author(s):  
KAZUMOTO IGUCHI
Keyword(s):  
Long Range ◽  
Luttinger Liquid ◽  
Scaling Theory ◽  
Wigner Crystal ◽  
Many Body ◽  
Range Interaction ◽  
One Dimensional ◽  
Ground State Wavefunction ◽  
Long Range Interaction ◽  
Many Body Systems

We conceptually study the existence of four distinct quantum phases: the Luttinger liquid, the Wigner crystal, the Coulomb plasma and the molecular crystal in one-dimensional many-body systems with long-range interaction. We show that the anomaly of the ground state wavefunction indicates a quantum Kosterlitz–Thouless transition at zero temperature, which separates into two regimes of the Luttinger liquid and the Wigner crystal. We also postulate a scaling theory which discriminate the four phases using the Kosterlitz–Thouless scaling theory.

Quantum many-body systems with nearest and next-to-nearest neighbor long-range interactions

2005 ◽  
Vol 71 (12) ◽  
Author(s):  
Meripeni Ezung ◽  
N. Gurappa ◽  
Avinash Khare ◽  
Prasanta K. Panigrahi
Keyword(s):  
Long Range ◽  
Nearest Neighbor ◽  
Many Body ◽  
Long Range Interactions ◽  
Many Body Systems

scholarly journals Cooperative Shielding in Many-Body Systems with Long-Range Interaction

2016 ◽  
Vol 116 (25) ◽  
Author(s):  
Lea F. Santos ◽  
Fausto Borgonovi ◽  
Giuseppe Luca Celardo
Keyword(s):  
Long Range ◽  
Many Body ◽  
Range Interaction ◽  
Long Range Interaction ◽  
Many Body Systems

scholarly journals A Simple Thermodynamical Witness Showing Universality of Macroscopic Entanglement

2009 ◽  
Vol 16 (02n03) ◽  
pp. 287-291 ◽  
Author(s):  
Vlatko Vedral
Keyword(s):  
Ground State ◽  
Physical System ◽  
Entangled State ◽  
Total Entropy ◽  
Many Body ◽  
Critical Temperatures ◽  
Entanglement Witness ◽  
Macroscopic Entanglement ◽  
Many Body Systems

We show that if the ground state entanglement exceeds the total entropy of a given system, then this system is in an entangled state. This is a universal entanglement witness that applies to any physical system and yields a temperature below which we are certain to find some entanglement. Our witness is then applied to generic bosonic and fermionic many-body systems to derive the corresponding "critical" temperatures that have a very broad validity.

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