arXiv subjects

J. Dziarmaga

Publications and source records attributed to J. Dziarmaga.

10 recordsLinked to original sources

arXiv2010

Shards of Broken Symmetry: Topological Defects as Traces of the Phase Transition Dynamics

We discuss the origin of topological defects in phase transitions and analyze their role as a "diagnostic tool" in the study of the non-equilibrium dynamics of symmetry breaking. Homogeneous second order phase transitions are the focus of our attention, but the same paradigm is applied to the cross-over and inhomogeneous transitions. The discrepancy between the experimental results in 3He and 4He is discussed in the light of recent numerical studies. The possible role of the Ginzburg regime in determining the vortex line density for the case of a quench in 4He is raised and tentatively dismissed. The difference in the anticipated origin of the dominant signal in the two (3He and 4He) cases is pointed out and the resulting consequences for the subsequent decay of vorticity are noted. The possibility of a significant discrepancy between the effective field theory and (quantum) kinetic theory descriptions of the order parameter is briefly touched upon, using atomic Bose-Einstein condensates as an example.

cond-mat.stat-mech↗

arXiv2008

Winding up by a quench: Insulator to superfluid phase transition in a ring of BECs

We study phase transition from the Mott insulator to superfluid in a periodic optical lattice. Kibble-Zurek mechanism predicts buildup of winding number through random walk of BEC phases, with the step size scaling as a the third root of transition rate. We confirm this and demonstrate that this scaling accounts for the net winding number after the transition.

cond-mat.stat-mech↗

arXiv2004

Non-equilibrium Mott transition in a lattice of Bose-Einstein condensates

We study the non-equilibrium dynamics of the zero temperature Mott insulator- superfluid quantum phase transition in a lattice of weakly coupled Bose-Einstein condensates. We show that crossing the critical point from the insulating to the superfluid phase at a finite rate results in a finite dispersion of current. Viceversa, crossing the critical point from the superfluid phase to the insulating one, results in a finite dispersion of the number of atoms per lattice site. We develop a microscopic dynamical model of the transition, and make quantitative predictions for realistic experiments.

cond-mat.mes-hall↗

arXiv2002

Introduction to Quantum Information Processing

As a result of the capabilities of quantum information, the science of quantum information processing is now a prospering, interdisciplinary field focused on better understanding the possibilities and limitations of the underlying theory, on developing new applications of quantum information and on physically realizing controllable quantum devices. The purpose of this primer is to provide an elementary introduction to quantum information processing, and then to briefly explain how we hope to exploit the advantages of quantum information. These two sections can be read independently. For reference, we have included a glossary of the main terms of quantum information.

quant-ph↗

arXiv2002

Dynamics of Quantum Phase Transition in an Array of Josephson Junctions

We study the dynamics of the Mott insulator-superfluid quantum phase transition in a periodic 1D array of Josephson junctions. We show that crossing the critical point diabatically i.e. at a finite rate with a quench time $τ_Q$ induces finite quantum fluctuations of the current around the loop proportional to $τ_Q^{-1/6}$. This scaling could be experimentally verified with in array of weakly coupled Bose-Einstein condensates or superconducting grains.

cond-mat↗

arXiv2001

Conditional Dynamics of Open Quantum Systems: Conditional Dynamics of Open Quantum Systems: the Case of Multiple Observers

Many observers can simultaneously measure different parts of an environment of a quantum system in order to find out its state. To study this problem we generalize the formalism of conditional master equations to the multiple observer case. To settle some issues of principle which arise in this context (as the state of the system and of the environment are ultimately correlated), we consider an example of a system qubit interacting through controlled nots (CNOTs) with environmental qubits. The state of the system is the easiest to find out for observers who measure in a basis of the environment which is most correlated with the pointer basis of the system. In this case the observers agree the most. Furthermore, the more predictable the pointers are, the easier it is to find the state of the system, and the better is the agreement between different observers.

quant-ph↗

arXiv2000

Unconditional Pointer States from Conditional Master Equations

When part of the environment responsible for decoherence is used to extract information about the decohering system, the preferred {\it pointer states} remain unchanged. This conclusion -- reached for a specific class of models -- is investigated in a general setting of conditional master equations using suitable generalizations of predictability sieve. We also find indications that the einselected states are easiest to infer from the measurements carried out on the environment.

quant-ph↗

arXiv1998

Antibaryon density in the central rapidity region of a heavy ion collision

We consider (anti-)baryons production in heavy ion collisions as production of topological defects during the chiral phase transition. Non-zero quark masses which explicitly break chiral symmetry supress the (anti-)baryon density. Hardly any (anti-)baryons will be produced in the central rapidity region of a heavy ion collision.

hep-ph↗

arXiv1998

Diffusion of Classical Solitons

We study the diffusion and deformation of classical solitons coupled to thermal noise. The diffusion coefficient for kinks in the $ϕ^4$ theory is predicted up to the second order in $kT$. The prediction is verified by numerical simulations. Multiskyrmions in the vector O(3) sigma model are studied within the same formalism. Thermal noise results in a diffusion on the multisoliton collective coordinate space (moduli space). There are entropic forces which tend, for example, to bind pairs of solitons into bi-solitonic molecules.

cond-mat↗

arXiv1997

How to kick a soliton ?

A simple method how to study response of solitons in dissipative systems to external impulsive perturbations is developed. Thanks to nontrivial choice of small parameter, the perturbative scheme captures genuine nonlinear phenomena. The method is developed and tested by numerical simulations for kinks in 1+1 dimensions and for skyrmions in 2+1 dimensions. Extension to models including second order time derivatives is discussed.

cond-mat.stat-mech↗