We sketch a recipe to define renormalization group transformations based on

Kadanoff-Wilson block packing using a quantum error correction code. In such a

case the RG transformations of the couplings are determined by the error matrix

of the QEC code. In order to define the RG transformation of couplings we use

Weinberg's sum rule for an error Kallen Lehmann function. We define an error

beta function that for holographic AdS codes is conjectured to be zero. For

# All

We report a formation of sharp, solitonlike structures in an experimentally

accessible ultracold Fermi gas, as a quantum carpet solution is analyzed in a

many body system. The effect is perfectly coherent in a noninteracting gas, but

in the presence of repulsive interaction in a two-component system, the

structures vanish at a finite time. As they disappear, the system enters a

dynamical equilibrium, in which kinetic energies of atoms tend to the same

average value. The coherence is revived in a strong interaction regime, with

We discuss how, in appropriately designed configurations, solenoids carrying

a semifluxon can be used as topological energy barriers for charged quantum

systems. We interpret this phenomenon as a consequence of the fact that such

solenoids induce nodal lines in the wave function describing the charge, which

on itself is a consequence of the Aharonov-Bohm effect. Moreover, we present a

thought experiment with a cavity where just two solenoids are sufficient to

create topological bound states.

Being comparable in quantum systems makes it possible for spaces with varying

dimensions to attribute each other using special conversions can attribute

schrodinger equation with like-hydrogen atom potential in defined dimensions to

a schrodinger equation with other certified dimensions with isotropic

oscillator potential. Applying special transformation provides a relationship

between different dimensions of two quantum systems. The result of the

quantized isotropic oscillator can be generalized to like-hydrogen atom problem

Quantum simulations of Fermi-Hubbard models have been attracting considerable

efforts in the optical lattice research, with the ultracold anti-ferromagnetic

atomic phase reached at half filling in recent years. An unresolved issue is to

dope the system while maintaining the low thermal entropy. Here we propose to

achieve the low temperature phase of the doped Fermi-Hubbard model using

incommensurate optical lattices through adiabatic quantum evolution. In this

In this paper, we have proposed and demonstrated a new method of atomic

population transfer. Transition dynamic of a two-level system is studied in a

full quantum description of the Jaynes-Cummings model. Solving the

time-dependent Schr\"odinger equation, we have investigated the transition

probabilities numerically and analytically by using a sudden boost of the laser

frequency. The results show that complete population transfer can be achieved

by adjusting the time of the frequency boost.

Quantum computing technologies promise to revolutionize calculations in many

areas of physics, chemistry, and data science. Their power is expected to be

especially pronounced for problems where direct analogs of a quantum system

under study can be encoded coherently within a quantum computer. A first step

toward harnessing this power is to express the building blocks of known

physical systems within the language of quantum gates and circuits. In this

paper, we present a quantum calculation of an archetypal quantum system:

The three-state Majorana model in the presence of dissipation is considered.

Different models of system-environment interaction are explored, ranging from

situation where dissipation is the main effect to regimes where dephasing is

mainly produced. It is shown that the detrimental effects of the noise are

stronger in the presence of dissipation than in the presence of dephasing. The

role of temperature is also discussed.

In this work we show how constructing Wigner functions of heterogeneous

quantum systems leads to new capability in the visualization of quantum states

of atoms and molecules. This method allows us to display quantum correlations

(entanglement) between spin and spatial degrees of freedom (spin-orbit

coupling) and between spin degrees of freedom, as well as more complex

combinations of spin and spatial entanglement for the first time. This is

important as there is growing recognition that such properties affect the

Nonlinear resonances in the classical phase space lead to a significant

enhancement of tunneling. We demonstrate that the double resonance gives rise

to a complicated tunneling peak structure. Such double resonances occur in

Hamiltonian systems with an at least four-dimensional phase space. To explain

the tunneling peak structure, we use the universal description of single and

double resonances by 4D normal-form Hamiltonians. By applying perturbative

methods, we reveal the underlying mechanism of enhancement and suppression of