Study of Loschmidt Echo for a qubit coupled to an XY-spin chain environment View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2012-04-30

AUTHORS

S. Sharma, V. Mukherjee, A. Dutta

ABSTRACT

We study the temporal evolution of a central spin-1/2 (qubit) coupled to the environment which is chosen to be a spin-1/2 transverse XY spin chain. We explore the entire phase diagram of the spin-Hamiltonian and investigate the behavior of Loschmidt echo(LE) close to critical and multicritical point(MCP). To achieve this, the qubit is coupled to the spin chain through the anisotropy term as well as one of the interaction terms. Our study reveals that the echo has a faster decay with the system size (in the short time limit) close to a MCP and also the scaling obeyed by the quasiperiod of the collapse and revival of the LE is different in comparison to that close to a QCP. We also show that even when approached along the gapless critical line, the scaling of the LE is determined by the MCP where the energy gap shows a faster decay with the system size. This claim is verified by studying the short-time and also the collapse and revival behavior of the LE at a quasicritical point on the ferromagnetic side of the MCP. We also connect our observation to the decoherence of the central spin. More... »

PAGES

143

Identifiers

URI

http://scigraph.springernature.com/pub.10.1140/epjb/e2012-21022-7

DOI

http://dx.doi.org/10.1140/epjb/e2012-21022-7

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1009137467


Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
Incoming Citations Browse incoming citations for this publication using opencitations.net

JSON-LD is the canonical representation for SciGraph data.

TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

[
  {
    "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
    "about": [
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Mathematical Sciences", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/02", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Physical Sciences", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Department of Physics, Indian Institute of Technology Kanpur, 208016, Kanpur, India", 
          "id": "http://www.grid.ac/institutes/grid.417965.8", 
          "name": [
            "Department of Physics, Indian Institute of Technology Kanpur, 208016, Kanpur, India"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Sharma", 
        "givenName": "S.", 
        "id": "sg:person.012624530343.96", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012624530343.96"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Institut de Physique Th\u00e9orique, CEA Saclay, 91191, Gif-sur-Yvette Cedex, France", 
          "id": "http://www.grid.ac/institutes/grid.457334.2", 
          "name": [
            "Institut de Physique Th\u00e9orique, CEA Saclay, 91191, Gif-sur-Yvette Cedex, France"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Mukherjee", 
        "givenName": "V.", 
        "id": "sg:person.016116221533.18", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016116221533.18"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Department of Physics, Indian Institute of Technology Kanpur, 208016, Kanpur, India", 
          "id": "http://www.grid.ac/institutes/grid.417965.8", 
          "name": [
            "Department of Physics, Indian Institute of Technology Kanpur, 208016, Kanpur, India"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Dutta", 
        "givenName": "A.", 
        "id": "sg:person.013777713203.27", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013777713203.27"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "sg:pub.10.1007/978-3-662-05328-7", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1041991125", 
          "https://doi.org/10.1007/978-3-662-05328-7"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1038/416608a", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1025998679", 
          "https://doi.org/10.1038/416608a"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2012-04-30", 
    "datePublishedReg": "2012-04-30", 
    "description": "We study the temporal evolution of a central spin-1/2 (qubit) coupled to the environment which is chosen to be a spin-1/2 transverse XY spin chain. We explore the entire phase diagram of the spin-Hamiltonian and investigate the behavior of Loschmidt echo(LE) close to critical and multicritical point(MCP). To achieve this, the qubit is coupled to the spin chain through the anisotropy term as well as one of the interaction terms. Our study reveals that the echo has a faster decay with the system size (in the short time limit) close to a MCP and also the scaling obeyed by the quasiperiod of the collapse and revival of the LE is different in comparison to that close to a QCP. We also show that even when approached along the gapless critical line, the scaling of the LE is determined by the MCP where the energy gap shows a faster decay with the system size. This claim is verified by studying the short-time and also the collapse and revival behavior of the LE at a quasicritical point on the ferromagnetic side of the MCP. We also connect our observation to the decoherence of the central spin.", 
    "genre": "article", 
    "id": "sg:pub.10.1140/epjb/e2012-21022-7", 
    "inLanguage": "en", 
    "isAccessibleForFree": true, 
    "isPartOf": [
      {
        "id": "sg:journal.1129956", 
        "issn": [
          "1155-4304", 
          "1286-4862"
        ], 
        "name": "The European Physical Journal B", 
        "publisher": "Springer Nature", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "5", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "85"
      }
    ], 
    "keywords": [
      "spin chain", 
      "transverse XY spin chain", 
      "XY spin chain", 
      "system size", 
      "XY spin-chain environment", 
      "entire phase diagram", 
      "ferromagnetic side", 
      "central spin", 
      "anisotropy term", 
      "Loschmidt echo", 
      "spin-1/2", 
      "revival behavior", 
      "critical line", 
      "quasicritical points", 
      "fast decay", 
      "phase diagram", 
      "qubits", 
      "energy gap", 
      "interaction terms", 
      "scaling", 
      "temporal evolution", 
      "QCP", 
      "Loschmidt", 
      "decoherence", 
      "spin", 
      "quasiperiod", 
      "terms", 
      "decay", 
      "diagram", 
      "echoes", 
      "chain environment", 
      "chain", 
      "behavior", 
      "point", 
      "size", 
      "evolution", 
      "collapse", 
      "LE", 
      "gap", 
      "observations", 
      "comparison", 
      "MCP", 
      "lines", 
      "environment", 
      "revival", 
      "side", 
      "study", 
      "claims"
    ], 
    "name": "Study of Loschmidt Echo for a qubit coupled to an XY-spin chain environment", 
    "pagination": "143", 
    "productId": [
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1009137467"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1140/epjb/e2012-21022-7"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1140/epjb/e2012-21022-7", 
      "https://app.dimensions.ai/details/publication/pub.1009137467"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2022-05-20T07:27", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-springernature-scigraph/baseset/20220519/entities/gbq_results/article/article_566.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "https://doi.org/10.1140/epjb/e2012-21022-7"
  }
]
 

Download the RDF metadata as:  json-ld nt turtle xml License info

HOW TO GET THIS DATA PROGRAMMATICALLY:

JSON-LD is a popular format for linked data which is fully compatible with JSON.

curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1140/epjb/e2012-21022-7'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1140/epjb/e2012-21022-7'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1140/epjb/e2012-21022-7'

RDF/XML is a standard XML format for linked data.

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1140/epjb/e2012-21022-7'


 

This table displays all metadata directly associated to this object as RDF triples.

131 TRIPLES      22 PREDICATES      75 URIs      65 LITERALS      6 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1140/epjb/e2012-21022-7 schema:about anzsrc-for:01
2 anzsrc-for:02
3 schema:author Ne2a08d4ab83d42e388de42807f3a1b32
4 schema:citation sg:pub.10.1007/978-3-662-05328-7
5 sg:pub.10.1038/416608a
6 schema:datePublished 2012-04-30
7 schema:datePublishedReg 2012-04-30
8 schema:description We study the temporal evolution of a central spin-1/2 (qubit) coupled to the environment which is chosen to be a spin-1/2 transverse XY spin chain. We explore the entire phase diagram of the spin-Hamiltonian and investigate the behavior of Loschmidt echo(LE) close to critical and multicritical point(MCP). To achieve this, the qubit is coupled to the spin chain through the anisotropy term as well as one of the interaction terms. Our study reveals that the echo has a faster decay with the system size (in the short time limit) close to a MCP and also the scaling obeyed by the quasiperiod of the collapse and revival of the LE is different in comparison to that close to a QCP. We also show that even when approached along the gapless critical line, the scaling of the LE is determined by the MCP where the energy gap shows a faster decay with the system size. This claim is verified by studying the short-time and also the collapse and revival behavior of the LE at a quasicritical point on the ferromagnetic side of the MCP. We also connect our observation to the decoherence of the central spin.
9 schema:genre article
10 schema:inLanguage en
11 schema:isAccessibleForFree true
12 schema:isPartOf N6f04a299ef434ea1983f6e7cf5587e73
13 Ncfd43bf2aacc441099480153290146fe
14 sg:journal.1129956
15 schema:keywords LE
16 Loschmidt
17 Loschmidt echo
18 MCP
19 QCP
20 XY spin chain
21 XY spin-chain environment
22 anisotropy term
23 behavior
24 central spin
25 chain
26 chain environment
27 claims
28 collapse
29 comparison
30 critical line
31 decay
32 decoherence
33 diagram
34 echoes
35 energy gap
36 entire phase diagram
37 environment
38 evolution
39 fast decay
40 ferromagnetic side
41 gap
42 interaction terms
43 lines
44 observations
45 phase diagram
46 point
47 quasicritical points
48 quasiperiod
49 qubits
50 revival
51 revival behavior
52 scaling
53 side
54 size
55 spin
56 spin chain
57 spin-1/2
58 study
59 system size
60 temporal evolution
61 terms
62 transverse XY spin chain
63 schema:name Study of Loschmidt Echo for a qubit coupled to an XY-spin chain environment
64 schema:pagination 143
65 schema:productId N76d1057382d443488a00288907a15566
66 N88d0a248c27a438a844f6d7ff3b2457a
67 schema:sameAs https://app.dimensions.ai/details/publication/pub.1009137467
68 https://doi.org/10.1140/epjb/e2012-21022-7
69 schema:sdDatePublished 2022-05-20T07:27
70 schema:sdLicense https://scigraph.springernature.com/explorer/license/
71 schema:sdPublisher N902bde4179e645c398dc69ae79f0c2aa
72 schema:url https://doi.org/10.1140/epjb/e2012-21022-7
73 sgo:license sg:explorer/license/
74 sgo:sdDataset articles
75 rdf:type schema:ScholarlyArticle
76 N6f04a299ef434ea1983f6e7cf5587e73 schema:volumeNumber 85
77 rdf:type schema:PublicationVolume
78 N76d1057382d443488a00288907a15566 schema:name dimensions_id
79 schema:value pub.1009137467
80 rdf:type schema:PropertyValue
81 N7fce3905e8364be79599d18589045cdd rdf:first sg:person.016116221533.18
82 rdf:rest Nfd5bb3563ddc488d8d21b4e7825d4f8c
83 N88d0a248c27a438a844f6d7ff3b2457a schema:name doi
84 schema:value 10.1140/epjb/e2012-21022-7
85 rdf:type schema:PropertyValue
86 N902bde4179e645c398dc69ae79f0c2aa schema:name Springer Nature - SN SciGraph project
87 rdf:type schema:Organization
88 Ncfd43bf2aacc441099480153290146fe schema:issueNumber 5
89 rdf:type schema:PublicationIssue
90 Ne2a08d4ab83d42e388de42807f3a1b32 rdf:first sg:person.012624530343.96
91 rdf:rest N7fce3905e8364be79599d18589045cdd
92 Nfd5bb3563ddc488d8d21b4e7825d4f8c rdf:first sg:person.013777713203.27
93 rdf:rest rdf:nil
94 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
95 schema:name Mathematical Sciences
96 rdf:type schema:DefinedTerm
97 anzsrc-for:02 schema:inDefinedTermSet anzsrc-for:
98 schema:name Physical Sciences
99 rdf:type schema:DefinedTerm
100 sg:journal.1129956 schema:issn 1155-4304
101 1286-4862
102 schema:name The European Physical Journal B
103 schema:publisher Springer Nature
104 rdf:type schema:Periodical
105 sg:person.012624530343.96 schema:affiliation grid-institutes:grid.417965.8
106 schema:familyName Sharma
107 schema:givenName S.
108 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012624530343.96
109 rdf:type schema:Person
110 sg:person.013777713203.27 schema:affiliation grid-institutes:grid.417965.8
111 schema:familyName Dutta
112 schema:givenName A.
113 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013777713203.27
114 rdf:type schema:Person
115 sg:person.016116221533.18 schema:affiliation grid-institutes:grid.457334.2
116 schema:familyName Mukherjee
117 schema:givenName V.
118 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016116221533.18
119 rdf:type schema:Person
120 sg:pub.10.1007/978-3-662-05328-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1041991125
121 https://doi.org/10.1007/978-3-662-05328-7
122 rdf:type schema:CreativeWork
123 sg:pub.10.1038/416608a schema:sameAs https://app.dimensions.ai/details/publication/pub.1025998679
124 https://doi.org/10.1038/416608a
125 rdf:type schema:CreativeWork
126 grid-institutes:grid.417965.8 schema:alternateName Department of Physics, Indian Institute of Technology Kanpur, 208016, Kanpur, India
127 schema:name Department of Physics, Indian Institute of Technology Kanpur, 208016, Kanpur, India
128 rdf:type schema:Organization
129 grid-institutes:grid.457334.2 schema:alternateName Institut de Physique Théorique, CEA Saclay, 91191, Gif-sur-Yvette Cedex, France
130 schema:name Institut de Physique Théorique, CEA Saclay, 91191, Gif-sur-Yvette Cedex, France
131 rdf:type schema:Organization
 




Preview window. Press ESC to close (or click here)


...